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Finding the Third Proportional to 396,910.13 and 596,256.19

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Solution

The third proportional to 396,910.13 and 596,256.19 is: 895,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,910.13 : 596,256.19 = 596,256.19 : x
  2. Step 2: Convert to fraction form
    396,910.13/596,256.19 = 596,256.19/x
  3. Step 3: Cross multiply
    396,910.13x = 596,256.19 × 596,256.19
  4. Step 4: Simplify right side
    396,910.13x = 355,521,441,132.04
  5. Step 5: Solve for x
    x = 355,521,441,132.04/396,910.13
  6. Step 6: Final answer
    x = 895,722.78

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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.