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Finding the Third Proportional to 275,940 and 415,524

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Solution

The third proportional to 275,940 and 415,524 is: 625,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,940 : 415,524 = 415,524 : x
  2. Step 2: Convert to fraction form
    275,940/415,524 = 415,524/x
  3. Step 3: Cross multiply
    275,940x = 415,524 × 415,524
  4. Step 4: Simplify right side
    275,940x = 172,660,194,576
  5. Step 5: Solve for x
    x = 172,660,194,576/275,940
  6. Step 6: Final answer
    x = 625,716.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.