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Finding the Third Proportional to 739 and 975

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Solution

The third proportional to 739 and 975 is: 1,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    739 : 975 = 975 : x
  2. Step 2: Convert to fraction form
    739/975 = 975/x
  3. Step 3: Cross multiply
    739x = 975 × 975
  4. Step 4: Simplify right side
    739x = 950,625
  5. Step 5: Solve for x
    x = 950,625/739
  6. Step 6: Final answer
    x = 1,286.37

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.