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Finding the Third Proportional to 237,469 and 484,626

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Solution

The third proportional to 237,469 and 484,626 is: 989,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,469 : 484,626 = 484,626 : x
  2. Step 2: Convert to fraction form
    237,469/484,626 = 484,626/x
  3. Step 3: Cross multiply
    237,469x = 484,626 × 484,626
  4. Step 4: Simplify right side
    237,469x = 234,862,359,876
  5. Step 5: Solve for x
    x = 234,862,359,876/237,469
  6. Step 6: Final answer
    x = 989,023.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.