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Finding the Third Proportional to 739,104.75 and 816,864.75

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Solution

The third proportional to 739,104.75 and 816,864.75 is: 902,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,104.75 : 816,864.75 = 816,864.75 : x
  2. Step 2: Convert to fraction form
    739,104.75/816,864.75 = 816,864.75/x
  3. Step 3: Cross multiply
    739,104.75x = 816,864.75 × 816,864.75
  4. Step 4: Simplify right side
    739,104.75x = 667,268,019,792.56
  5. Step 5: Solve for x
    x = 667,268,019,792.56/739,104.75
  6. Step 6: Final answer
    x = 902,805.75

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.