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Finding the Third Proportional to 393,357 and 862,530

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Solution

The third proportional to 393,357 and 862,530 is: 1,891,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,357 : 862,530 = 862,530 : x
  2. Step 2: Convert to fraction form
    393,357/862,530 = 862,530/x
  3. Step 3: Cross multiply
    393,357x = 862,530 × 862,530
  4. Step 4: Simplify right side
    393,357x = 743,958,000,900
  5. Step 5: Solve for x
    x = 743,958,000,900/393,357
  6. Step 6: Final answer
    x = 1,891,304.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.