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Finding the Third Proportional to 275,508 and 425,544

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Solution

The third proportional to 275,508 and 425,544 is: 657,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,508 : 425,544 = 425,544 : x
  2. Step 2: Convert to fraction form
    275,508/425,544 = 425,544/x
  3. Step 3: Cross multiply
    275,508x = 425,544 × 425,544
  4. Step 4: Simplify right side
    275,508x = 181,087,695,936
  5. Step 5: Solve for x
    x = 181,087,695,936/275,508
  6. Step 6: Final answer
    x = 657,286.53

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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.