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Finding the Third Proportional to 396,756 and 853,165.13

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Solution

The third proportional to 396,756 and 853,165.13 is: 1,834,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,756 : 853,165.13 = 853,165.13 : x
  2. Step 2: Convert to fraction form
    396,756/853,165.13 = 853,165.13/x
  3. Step 3: Cross multiply
    396,756x = 853,165.13 × 853,165.13
  4. Step 4: Simplify right side
    396,756x = 727,890,730,516.27
  5. Step 5: Solve for x
    x = 727,890,730,516.27/396,756
  6. Step 6: Final answer
    x = 1,834,605.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.