diff --git a/crates/audio-io/src/peaks.rs b/crates/audio-io/src/peaks.rs
index 9553665c..6cd8f321 100644
--- a/crates/audio-io/src/peaks.rs
+++ b/crates/audio-io/src/peaks.rs
@@ -24,14 +24,14 @@ pub struct Peaks {
 struct Block {
     min: f32,
     max: f32,
-    squares: f32,
+    squares: f64,
 }
 
 impl Block {
     const EMPTY: Block = Block { min: f32::INFINITY, max: f32::NEG_INFINITY, squares: 0.0 };
 
     fn point(s: f32) -> Block {
-        Block { min: s, max: s, squares: if s.is_finite() { s * s } else { 0.0 } }
+        Block { min: s, max: s, squares: if s.is_finite() { f64::from(s) * f64::from(s) } else { 0.0 } }
     }
 
     fn of(samples: &[f32]) -> Block {
@@ -146,7 +146,7 @@ impl Peaks {
             .map(|w| {
                 w.map(|(a, b)| {
                     let (s, e) = (a.floor() as usize, (b.ceil() as usize).saturating_add(1).min(self.len).min(samples.len()));
-                    (self.sum(samples, s, e).squares / e.saturating_sub(s).max(1) as f32).sqrt()
+                    (self.sum(samples, s, e).squares / e.saturating_sub(s).max(1) as f64).sqrt() as f32
                 })
             })
             .collect()
@@ -215,6 +215,13 @@ mod tests {
         assert!(p.rms_spans(&x, 0.0, 1.0, 0.0, 1)[0].is_some_and(f32::is_finite));
     }
 
+    #[test]
+    fn finite_large_samples_keep_finite_rms() {
+        let samples = vec![1e20_f32; BLOCK];
+        let peaks = Peaks::build(&samples);
+        assert_eq!(peaks.rms_spans(&samples, 0.0, BLOCK as f64, 0.0, 1), vec![Some(1e20)]);
+    }
+
     #[test]
     fn rms_spans_match_the_samples() {
         let x = signal(20_000);