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Finding the Third Proportional to 267,552 and 391,727.25

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Solution

The third proportional to 267,552 and 391,727.25 is: 573,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,552 : 391,727.25 = 391,727.25 : x
  2. Step 2: Convert to fraction form
    267,552/391,727.25 = 391,727.25/x
  3. Step 3: Cross multiply
    267,552x = 391,727.25 × 391,727.25
  4. Step 4: Simplify right side
    267,552x = 153,450,238,392.56
  5. Step 5: Solve for x
    x = 153,450,238,392.56/267,552
  6. Step 6: Final answer
    x = 573,534.26

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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.