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The .338 will out penetrate it everytime. The .338 will out-penetrate the great .375 H&H as well.

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I have shot too many bullets/cartridges head-to-head in test media to make such a statement.

Bullet construction, velocity and caliber all come together to make a bullet penetrate. Just because a .338 bullet has the spec's you identify does not mean it will outpenetrate a .358 bullet, truth be told.