1. **State the problem:** Find the product of 379 and 64. 2. **Formula used:** The product of two numbers $a$ and $b$ is given by multiplication: $$a \times b$$ 3. **Apply the formula:** Here, $a = 379$ and $b = 64$, so we calculate $$379 \times 64$$ 4. **Intermediate work:** - Multiply 379 by 60: $$379 \times 60 = 22740$$ - Multiply 379 by 4: $$379 \times 4 = 1516$$ - Add the two results: $$22740 + 1516 = 24256$$ 5. **Final answer:** The product of 379 and 64 is $$\boxed{24256}$$.