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Finding the Third Proportional to 766,254.94 and 1,149,382.41

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Solution

The third proportional to 766,254.94 and 1,149,382.41 is: 1,724,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,254.94 : 1,149,382.41 = 1,149,382.41 : x
  2. Step 2: Convert to fraction form
    766,254.94/1,149,382.41 = 1,149,382.41/x
  3. Step 3: Cross multiply
    766,254.94x = 1,149,382.41 × 1,149,382.41
  4. Step 4: Simplify right side
    766,254.94x = 1,321,079,915,797.04
  5. Step 5: Solve for x
    x = 1,321,079,915,797.04/766,254.94
  6. Step 6: Final answer
    x = 1,724,073.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.