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If the mouth is wider than the rest of the casing, a caliper (which only non-machinists think of as a precise tool) will find two good points to rest on. If it's not, you can get a deceptively large value because your calipers will rest somewhere behind the mouth.
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Yes, but in the first 1/4” from the case mouth, there is only .0002” difference in the SAAMI case diameter. Your calipers most likely can’t see that difference. If you taper crimped properly, the part that you're measuring will, for all practical purposes, be straight walled anyway.
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SAAMI says the rear of a .45 ACP cartridge is wider than the mouth.
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See above.