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Finding the Third Proportional to 337,572 and 474,757

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Solution

The third proportional to 337,572 and 474,757 is: 667,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,572 : 474,757 = 474,757 : x
  2. Step 2: Convert to fraction form
    337,572/474,757 = 474,757/x
  3. Step 3: Cross multiply
    337,572x = 474,757 × 474,757
  4. Step 4: Simplify right side
    337,572x = 225,394,209,049
  5. Step 5: Solve for x
    x = 225,394,209,049/337,572
  6. Step 6: Final answer
    x = 667,692.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.