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Finding the Third Proportional to 275,251.50 and 425,400.75

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Solution

The third proportional to 275,251.50 and 425,400.75 is: 657,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,251.50 : 425,400.75 = 425,400.75 : x
  2. Step 2: Convert to fraction form
    275,251.50/425,400.75 = 425,400.75/x
  3. Step 3: Cross multiply
    275,251.50x = 425,400.75 × 425,400.75
  4. Step 4: Simplify right side
    275,251.50x = 180,965,798,100.56
  5. Step 5: Solve for x
    x = 180,965,798,100.56/275,251.50
  6. Step 6: Final answer
    x = 657,456.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.