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Finding the Third Proportional to 267,604 and 413,398

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Solution

The third proportional to 267,604 and 413,398 is: 638,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,604 : 413,398 = 413,398 : x
  2. Step 2: Convert to fraction form
    267,604/413,398 = 413,398/x
  3. Step 3: Cross multiply
    267,604x = 413,398 × 413,398
  4. Step 4: Simplify right side
    267,604x = 170,897,906,404
  5. Step 5: Solve for x
    x = 170,897,906,404/267,604
  6. Step 6: Final answer
    x = 638,622.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.