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Finding the Third Proportional to 498,006 and 747,498

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Solution

The third proportional to 498,006 and 747,498 is: 1,121,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,006 : 747,498 = 747,498 : x
  2. Step 2: Convert to fraction form
    498,006/747,498 = 747,498/x
  3. Step 3: Cross multiply
    498,006x = 747,498 × 747,498
  4. Step 4: Simplify right side
    498,006x = 558,753,260,004
  5. Step 5: Solve for x
    x = 558,753,260,004/498,006
  6. Step 6: Final answer
    x = 1,121,980.98

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