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Finding the Third Proportional to 275,704 and 425,544

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Solution

The third proportional to 275,704 and 425,544 is: 656,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,704 : 425,544 = 425,544 : x
  2. Step 2: Convert to fraction form
    275,704/425,544 = 425,544/x
  3. Step 3: Cross multiply
    275,704x = 425,544 × 425,544
  4. Step 4: Simplify right side
    275,704x = 181,087,695,936
  5. Step 5: Solve for x
    x = 181,087,695,936/275,704
  6. Step 6: Final answer
    x = 656,819.26

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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.