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Finding the Third Proportional to 498,012 and 747,508

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Solution

The third proportional to 498,012 and 747,508 is: 1,121,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,012 : 747,508 = 747,508 : x
  2. Step 2: Convert to fraction form
    498,012/747,508 = 747,508/x
  3. Step 3: Cross multiply
    498,012x = 747,508 × 747,508
  4. Step 4: Simplify right side
    498,012x = 558,768,210,064
  5. Step 5: Solve for x
    x = 558,768,210,064/498,012
  6. Step 6: Final answer
    x = 1,121,997.48

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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.