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Finding the Third Proportional to 412,860.19 and 581,382.19

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Solution

The third proportional to 412,860.19 and 581,382.19 is: 818,691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,860.19 : 581,382.19 = 581,382.19 : x
  2. Step 2: Convert to fraction form
    412,860.19/581,382.19 = 581,382.19/x
  3. Step 3: Cross multiply
    412,860.19x = 581,382.19 × 581,382.19
  4. Step 4: Simplify right side
    412,860.19x = 338,005,247,942.29
  5. Step 5: Solve for x
    x = 338,005,247,942.29/412,860.19
  6. Step 6: Final answer
    x = 818,691.79

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.