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Finding the Third Proportional to 498,466 and 747,515

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Solution

The third proportional to 498,466 and 747,515 is: 1,120,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,466 : 747,515 = 747,515 : x
  2. Step 2: Convert to fraction form
    498,466/747,515 = 747,515/x
  3. Step 3: Cross multiply
    498,466x = 747,515 × 747,515
  4. Step 4: Simplify right side
    498,466x = 558,778,675,225
  5. Step 5: Solve for x
    x = 558,778,675,225/498,466
  6. Step 6: Final answer
    x = 1,120,996.57

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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.