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Finding the Third Proportional to 232,833.38 and 511,387.88

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Solution

The third proportional to 232,833.38 and 511,387.88 is: 1,123,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,833.38 : 511,387.88 = 511,387.88 : x
  2. Step 2: Convert to fraction form
    232,833.38/511,387.88 = 511,387.88/x
  3. Step 3: Cross multiply
    232,833.38x = 511,387.88 × 511,387.88
  4. Step 4: Simplify right side
    232,833.38x = 261,517,558,697.02
  5. Step 5: Solve for x
    x = 261,517,558,697.02/232,833.38
  6. Step 6: Final answer
    x = 1,123,196.19

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Why These Related Problems?

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