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Finding the Third Proportional to 394,108.88 and 816,243.75

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Solution

The third proportional to 394,108.88 and 816,243.75 is: 1,690,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,108.88 : 816,243.75 = 816,243.75 : x
  2. Step 2: Convert to fraction form
    394,108.88/816,243.75 = 816,243.75/x
  3. Step 3: Cross multiply
    394,108.88x = 816,243.75 × 816,243.75
  4. Step 4: Simplify right side
    394,108.88x = 666,253,859,414.06
  5. Step 5: Solve for x
    x = 666,253,859,414.06/394,108.88
  6. Step 6: Final answer
    x = 1,690,532.49

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.