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A money order is a payment order for a pre-specified amount of money. It is a more trusted method of payment than a personal check, because it is required that the funds be prepaid for the amount shown on it. Merchants may welcome the extra security of a pre-paid money order instead of a personal check, which can bounce.
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So as you know from the above, you already paid the amoount of money, it is more secure and trusted way of payment. Most banks will accept it.