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Finding the Third Proportional to 337,634 and 720,467

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Solution

The third proportional to 337,634 and 720,467 is: 1,537,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,634 : 720,467 = 720,467 : x
  2. Step 2: Convert to fraction form
    337,634/720,467 = 720,467/x
  3. Step 3: Cross multiply
    337,634x = 720,467 × 720,467
  4. Step 4: Simplify right side
    337,634x = 519,072,698,089
  5. Step 5: Solve for x
    x = 519,072,698,089/337,634
  6. Step 6: Final answer
    x = 1,537,382.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.