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Finding the Third Proportional to 739.27 and 1,457.86

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Solution

The third proportional to 739.27 and 1,457.86 is: 2,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.27 : 1,457.86 = 1,457.86 : x
  2. Step 2: Convert to fraction form
    739.27/1,457.86 = 1,457.86/x
  3. Step 3: Cross multiply
    739.27x = 1,457.86 × 1,457.86
  4. Step 4: Simplify right side
    739.27x = 2,125,353.96
  5. Step 5: Solve for x
    x = 2,125,353.96/739.27
  6. Step 6: Final answer
    x = 2,874.95

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.