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Finding the Third Proportional to 396,677.25 and 595,881.56

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Solution

The third proportional to 396,677.25 and 595,881.56 is: 895,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,677.25 : 595,881.56 = 595,881.56 : x
  2. Step 2: Convert to fraction form
    396,677.25/595,881.56 = 595,881.56/x
  3. Step 3: Cross multiply
    396,677.25x = 595,881.56 × 595,881.56
  4. Step 4: Simplify right side
    396,677.25x = 355,074,836,527.44
  5. Step 5: Solve for x
    x = 355,074,836,527.44/396,677.25
  6. Step 6: Final answer
    x = 895,122.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.