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Finding the Third Proportional to 488,620 and 747,463

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Solution

The third proportional to 488,620 and 747,463 is: 1,143,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,620 : 747,463 = 747,463 : x
  2. Step 2: Convert to fraction form
    488,620/747,463 = 747,463/x
  3. Step 3: Cross multiply
    488,620x = 747,463 × 747,463
  4. Step 4: Simplify right side
    488,620x = 558,700,936,369
  5. Step 5: Solve for x
    x = 558,700,936,369/488,620
  6. Step 6: Final answer
    x = 1,143,426.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.