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Finding the Third Proportional to 325,863 and 681,517.13

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Solution

The third proportional to 325,863 and 681,517.13 is: 1,425,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,863 : 681,517.13 = 681,517.13 : x
  2. Step 2: Convert to fraction form
    325,863/681,517.13 = 681,517.13/x
  3. Step 3: Cross multiply
    325,863x = 681,517.13 × 681,517.13
  4. Step 4: Simplify right side
    325,863x = 464,465,591,668.27
  5. Step 5: Solve for x
    x = 464,465,591,668.27/325,863
  6. Step 6: Final answer
    x = 1,425,340.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.