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Finding the Third Proportional to 498,504 and 747,612

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Solution

The third proportional to 498,504 and 747,612 is: 1,121,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,504 : 747,612 = 747,612 : x
  2. Step 2: Convert to fraction form
    498,504/747,612 = 747,612/x
  3. Step 3: Cross multiply
    498,504x = 747,612 × 747,612
  4. Step 4: Simplify right side
    498,504x = 558,923,702,544
  5. Step 5: Solve for x
    x = 558,923,702,544/498,504
  6. Step 6: Final answer
    x = 1,121,202.04

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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.