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An ounce is an once, but for a given volume...

 

Like in a watch case there will be more platinum by weight.  Platinum will be 21.45 grams per cubic cm and gold will be 19.3 grams for the same volume.   This of course would be if we were talking 100% platinum and 24k gold.  Factor in the big difference in alloy mix typically 95% platinum and 75% gold, and there is much more weight in platinum than gold in the same size case.

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