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Finding the Third Proportional to 232,201.69 and 511,560.56

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Solution

The third proportional to 232,201.69 and 511,560.56 is: 1,127,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,201.69 : 511,560.56 = 511,560.56 : x
  2. Step 2: Convert to fraction form
    232,201.69/511,560.56 = 511,560.56/x
  3. Step 3: Cross multiply
    232,201.69x = 511,560.56 × 511,560.56
  4. Step 4: Simplify right side
    232,201.69x = 261,694,209,105.32
  5. Step 5: Solve for x
    x = 261,694,209,105.32/232,201.69
  6. Step 6: Final answer
    x = 1,127,012.52

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