MySQL Problems Under Heavy Loads?

pgatt asks: "I am running a very high load Web site, averaging 500,000 hits per day. Most pages on the site require a MySQL connection for some simple query. I have a separate Web server and MySQL server, each consisting of dual Pentium III 750s with a gig of RAM. Under peak hours, MySQL reports a "Lost Connection To Server During Query" error, even if I try to connect to the database locally from the MySQL server. This usually seems to happen when the number simultaneous threads get to be around 700-800, but there doesn't seem to be an exact number that it hits when it encounters a problem. I have contacted MySQL support but have not had much luck. My system has plenty of resources left, only running at about 0.40 load average with plenty of RAM. I see a lot of people experiencing the same problem as me in the mysql mailing list but they haven't found a solution. I am looking for recommendations about how to either tweak MySQL to run better or other database solutions. I would like to stick with something open source, but if I need to pay for something to get stability then I will. Any suggestions will be greatly appreciated."