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Finding the Third Proportional to 701.88 and 1,039.19

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Solution

The third proportional to 701.88 and 1,039.19 is: 1,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.88 : 1,039.19 = 1,039.19 : x
  2. Step 2: Convert to fraction form
    701.88/1,039.19 = 1,039.19/x
  3. Step 3: Cross multiply
    701.88x = 1,039.19 × 1,039.19
  4. Step 4: Simplify right side
    701.88x = 1,079,910.66
  5. Step 5: Solve for x
    x = 1,079,910.66/701.88
  6. Step 6: Final answer
    x = 1,538.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.