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Finding the Third Proportional to 267,684 and 391,468

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Solution

The third proportional to 267,684 and 391,468 is: 572,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,684 : 391,468 = 391,468 : x
  2. Step 2: Convert to fraction form
    267,684/391,468 = 391,468/x
  3. Step 3: Cross multiply
    267,684x = 391,468 × 391,468
  4. Step 4: Simplify right side
    267,684x = 153,247,195,024
  5. Step 5: Solve for x
    x = 153,247,195,024/267,684
  6. Step 6: Final answer
    x = 572,492.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.