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Finding the Third Proportional to 252,067.50 and 527,503.50

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Solution

The third proportional to 252,067.50 and 527,503.50 is: 1,103,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,067.50 : 527,503.50 = 527,503.50 : x
  2. Step 2: Convert to fraction form
    252,067.50/527,503.50 = 527,503.50/x
  3. Step 3: Cross multiply
    252,067.50x = 527,503.50 × 527,503.50
  4. Step 4: Simplify right side
    252,067.50x = 278,259,942,512.25
  5. Step 5: Solve for x
    x = 278,259,942,512.25/252,067.50
  6. Step 6: Final answer
    x = 1,103,910.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.