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Finding the Third Proportional to 781.38 and 1,169.86

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Solution

The third proportional to 781.38 and 1,169.86 is: 1,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.38 : 1,169.86 = 1,169.86 : x
  2. Step 2: Convert to fraction form
    781.38/1,169.86 = 1,169.86/x
  3. Step 3: Cross multiply
    781.38x = 1,169.86 × 1,169.86
  4. Step 4: Simplify right side
    781.38x = 1,368,570.96
  5. Step 5: Solve for x
    x = 1,368,570.96/781.38
  6. Step 6: Final answer
    x = 1,751.47

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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.