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Finding the Third Proportional to 360,699.75 and 769,665.38

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Solution

The third proportional to 360,699.75 and 769,665.38 is: 1,642,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,699.75 : 769,665.38 = 769,665.38 : x
  2. Step 2: Convert to fraction form
    360,699.75/769,665.38 = 769,665.38/x
  3. Step 3: Cross multiply
    360,699.75x = 769,665.38 × 769,665.38
  4. Step 4: Simplify right side
    360,699.75x = 592,384,789,473.89
  5. Step 5: Solve for x
    x = 592,384,789,473.89/360,699.75
  6. Step 6: Final answer
    x = 1,642,321.04

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.