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Finding the Third Proportional to 729,016.50 and 981,396

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Solution

The third proportional to 729,016.50 and 981,396 is: 1,321,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,016.50 : 981,396 = 981,396 : x
  2. Step 2: Convert to fraction form
    729,016.50/981,396 = 981,396/x
  3. Step 3: Cross multiply
    729,016.50x = 981,396 × 981,396
  4. Step 4: Simplify right side
    729,016.50x = 963,138,108,816
  5. Step 5: Solve for x
    x = 963,138,108,816/729,016.50
  6. Step 6: Final answer
    x = 1,321,147.20

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.