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Finding the Third Proportional to 361,720.69 and 794,377.13

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Solution

The third proportional to 361,720.69 and 794,377.13 is: 1,744,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,720.69 : 794,377.13 = 794,377.13 : x
  2. Step 2: Convert to fraction form
    361,720.69/794,377.13 = 794,377.13/x
  3. Step 3: Cross multiply
    361,720.69x = 794,377.13 × 794,377.13
  4. Step 4: Simplify right side
    361,720.69x = 631,035,016,723.27
  5. Step 5: Solve for x
    x = 631,035,016,723.27/361,720.69
  6. Step 6: Final answer
    x = 1,744,536.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.