LBF Travel Charging credit card without card holder's approval. San Diego California

On the reservation request e-mail sent to me on 1/16/2018 
shows Total trip cost $526.43, which matched with the price I agreed at the time of booking. According to the same e-mail, 
"Please note that reservation requests are only confirmed once the airline has issued a ticket number. A second and final email with ticket numbers will be sent to your email address within 24 hours (up to 72 on the weekends) indicating that a ticket has been issued. ". I have not received any e-mail after that, but few days later I noticed a credit card charge with the amount of $599.54. I called LBF Travel and they informed me that I have the ticket for this higher price. They refused to give me refund/discount to match the price that I agreed to. Be careful!