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Finding the Third Proportional to 267,632 and 391,400

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Solution

The third proportional to 267,632 and 391,400 is: 572,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,632 : 391,400 = 391,400 : x
  2. Step 2: Convert to fraction form
    267,632/391,400 = 391,400/x
  3. Step 3: Cross multiply
    267,632x = 391,400 × 391,400
  4. Step 4: Simplify right side
    267,632x = 153,193,960,000
  5. Step 5: Solve for x
    x = 153,193,960,000/267,632
  6. Step 6: Final answer
    x = 572,405.24

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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.