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Finding the Third Proportional to 267,643 and 391,413

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Solution

The third proportional to 267,643 and 391,413 is: 572,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,643 : 391,413 = 391,413 : x
  2. Step 2: Convert to fraction form
    267,643/391,413 = 391,413/x
  3. Step 3: Cross multiply
    267,643x = 391,413 × 391,413
  4. Step 4: Simplify right side
    267,643x = 153,204,136,569
  5. Step 5: Solve for x
    x = 153,204,136,569/267,643
  6. Step 6: Final answer
    x = 572,419.74

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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.