I will be traveling to Mexico, with my US passport?

I will be traveling to Mexico, with my US passport however, it indicates that I am a Mexican National (place of birth). When arriving in Mexico, will I be fined or so on, if I identify myself as a US Citizen - Naturalized. Or do I need to get a Mexican passport to enter with out being fined.

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Thanks.

No, there will be no problem. Carry your U.S. passport and your proof of naturalization. It is no different than if you were born in any other country and became a naturalized American citizen. You don't have to worry about "identifying" yourself as an American citizen. You ARE an American citizen.