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Finding the Third Proportional to 517,414.50 and 1,131,016.50

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Solution

The third proportional to 517,414.50 and 1,131,016.50 is: 2,472,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,414.50 : 1,131,016.50 = 1,131,016.50 : x
  2. Step 2: Convert to fraction form
    517,414.50/1,131,016.50 = 1,131,016.50/x
  3. Step 3: Cross multiply
    517,414.50x = 1,131,016.50 × 1,131,016.50
  4. Step 4: Simplify right side
    517,414.50x = 1,279,198,323,272.25
  5. Step 5: Solve for x
    x = 1,279,198,323,272.25/517,414.50
  6. Step 6: Final answer
    x = 2,472,289.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.