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Finding the Third Proportional to 200,517.36 and 445,869.29

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Solution

The third proportional to 200,517.36 and 445,869.29 is: 991,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,517.36 : 445,869.29 = 445,869.29 : x
  2. Step 2: Convert to fraction form
    200,517.36/445,869.29 = 445,869.29/x
  3. Step 3: Cross multiply
    200,517.36x = 445,869.29 × 445,869.29
  4. Step 4: Simplify right side
    200,517.36x = 198,799,419,881.16
  5. Step 5: Solve for x
    x = 198,799,419,881.16/200,517.36
  6. Step 6: Final answer
    x = 991,432.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.