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Finding the Third Proportional to 267,508 and 391,415

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Solution

The third proportional to 267,508 and 391,415 is: 572,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,508 : 391,415 = 391,415 : x
  2. Step 2: Convert to fraction form
    267,508/391,415 = 391,415/x
  3. Step 3: Cross multiply
    267,508x = 391,415 × 391,415
  4. Step 4: Simplify right side
    267,508x = 153,205,702,225
  5. Step 5: Solve for x
    x = 153,205,702,225/267,508
  6. Step 6: Final answer
    x = 572,714.47

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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.