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Finding the Third Proportional to 396,883.13 and 596,220.75

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Solution

The third proportional to 396,883.13 and 596,220.75 is: 895,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,883.13 : 596,220.75 = 596,220.75 : x
  2. Step 2: Convert to fraction form
    396,883.13/596,220.75 = 596,220.75/x
  3. Step 3: Cross multiply
    396,883.13x = 596,220.75 × 596,220.75
  4. Step 4: Simplify right side
    396,883.13x = 355,479,182,730.56
  5. Step 5: Solve for x
    x = 355,479,182,730.56/396,883.13
  6. Step 6: Final answer
    x = 895,677.24

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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.