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Finding the Third Proportional to 274,682.25 and 425,265.75

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Solution

The third proportional to 274,682.25 and 425,265.75 is: 658,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,682.25 : 425,265.75 = 425,265.75 : x
  2. Step 2: Convert to fraction form
    274,682.25/425,265.75 = 425,265.75/x
  3. Step 3: Cross multiply
    274,682.25x = 425,265.75 × 425,265.75
  4. Step 4: Simplify right side
    274,682.25x = 180,850,958,123.06
  5. Step 5: Solve for x
    x = 180,850,958,123.06/274,682.25
  6. Step 6: Final answer
    x = 658,400.60

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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.