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Finding the Third Proportional to 498,204 and 747,927

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Solution

The third proportional to 498,204 and 747,927 is: 1,122,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,204 : 747,927 = 747,927 : x
  2. Step 2: Convert to fraction form
    498,204/747,927 = 747,927/x
  3. Step 3: Cross multiply
    498,204x = 747,927 × 747,927
  4. Step 4: Simplify right side
    498,204x = 559,394,797,329
  5. Step 5: Solve for x
    x = 559,394,797,329/498,204
  6. Step 6: Final answer
    x = 1,122,822.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.