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Finding the Third Proportional to 275,454 and 425,331

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Solution

The third proportional to 275,454 and 425,331 is: 656,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,454 : 425,331 = 425,331 : x
  2. Step 2: Convert to fraction form
    275,454/425,331 = 425,331/x
  3. Step 3: Cross multiply
    275,454x = 425,331 × 425,331
  4. Step 4: Simplify right side
    275,454x = 180,906,459,561
  5. Step 5: Solve for x
    x = 180,906,459,561/275,454
  6. Step 6: Final answer
    x = 656,757.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.