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Finding the Third Proportional to 422,932.50 and 915,561

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Solution

The third proportional to 422,932.50 and 915,561 is: 1,981,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,932.50 : 915,561 = 915,561 : x
  2. Step 2: Convert to fraction form
    422,932.50/915,561 = 915,561/x
  3. Step 3: Cross multiply
    422,932.50x = 915,561 × 915,561
  4. Step 4: Simplify right side
    422,932.50x = 838,251,944,721
  5. Step 5: Solve for x
    x = 838,251,944,721/422,932.50
  6. Step 6: Final answer
    x = 1,981,999.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.