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Finding the Third Proportional to 739.13 and 859.78

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Solution

The third proportional to 739.13 and 859.78 is: 1,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.13 : 859.78 = 859.78 : x
  2. Step 2: Convert to fraction form
    739.13/859.78 = 859.78/x
  3. Step 3: Cross multiply
    739.13x = 859.78 × 859.78
  4. Step 4: Simplify right side
    739.13x = 739,223.80
  5. Step 5: Solve for x
    x = 739,223.80/739.13
  6. Step 6: Final answer
    x = 1,000.13

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.