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Finding the Third Proportional to 232,616.50 and 511,108.73

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Solution

The third proportional to 232,616.50 and 511,108.73 is: 1,123,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,616.50 : 511,108.73 = 511,108.73 : x
  2. Step 2: Convert to fraction form
    232,616.50/511,108.73 = 511,108.73/x
  3. Step 3: Cross multiply
    232,616.50x = 511,108.73 × 511,108.73
  4. Step 4: Simplify right side
    232,616.50x = 261,232,138,354.41
  5. Step 5: Solve for x
    x = 261,232,138,354.41/232,616.50
  6. Step 6: Final answer
    x = 1,123,016.39

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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.