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Finding the Third Proportional to 331,747 and 500,367

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Solution

The third proportional to 331,747 and 500,367 is: 754,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,747 : 500,367 = 500,367 : x
  2. Step 2: Convert to fraction form
    331,747/500,367 = 500,367/x
  3. Step 3: Cross multiply
    331,747x = 500,367 × 500,367
  4. Step 4: Simplify right side
    331,747x = 250,367,134,689
  5. Step 5: Solve for x
    x = 250,367,134,689/331,747
  6. Step 6: Final answer
    x = 754,692.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.