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Finding the Third Proportional to 267,522 and 415,566

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Solution

The third proportional to 267,522 and 415,566 is: 645,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,522 : 415,566 = 415,566 : x
  2. Step 2: Convert to fraction form
    267,522/415,566 = 415,566/x
  3. Step 3: Cross multiply
    267,522x = 415,566 × 415,566
  4. Step 4: Simplify right side
    267,522x = 172,695,100,356
  5. Step 5: Solve for x
    x = 172,695,100,356/267,522
  6. Step 6: Final answer
    x = 645,536.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.