What is the difference between marketing, advertising, and propaganda

What is the difference between marketing, advertising, and propaganda?
I think the difference between advertising and marketing is that marketing can be a lot of things. Marketing is a strategy, that a company could come up with to achieve a certain goal. In other words if I was the CEO of a company I could try to come up with a marketing plan that would raise profits by 25% and help make the company more known. Advertising however is a bit different. Advertising is a tool you could use to get to that goal. For example a company may take out a billboard or maybe a magazine page to help get customers to come in. Propaganda is like advertising except I think that in most cases the information involved in the ad's is biased. An example I can think of is the Nazi propaganda during WWII which depicted jews, gypsies, and soviets as lesser people that were ruining germany which in turn gained support for the Nazi's. All in all I think all three are methods of delivering information whether it be a scheme a picture or information about a subject.