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Finding the Third Proportional to 337,950 and 523,102

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Solution

The third proportional to 337,950 and 523,102 is: 809,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,950 : 523,102 = 523,102 : x
  2. Step 2: Convert to fraction form
    337,950/523,102 = 523,102/x
  3. Step 3: Cross multiply
    337,950x = 523,102 × 523,102
  4. Step 4: Simplify right side
    337,950x = 273,635,702,404
  5. Step 5: Solve for x
    x = 273,635,702,404/337,950
  6. Step 6: Final answer
    x = 809,692.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.