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Finding the Third Proportional to 681.86 and 965.36

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Solution

The third proportional to 681.86 and 965.36 is: 1,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.86 : 965.36 = 965.36 : x
  2. Step 2: Convert to fraction form
    681.86/965.36 = 965.36/x
  3. Step 3: Cross multiply
    681.86x = 965.36 × 965.36
  4. Step 4: Simplify right side
    681.86x = 931,911.18
  5. Step 5: Solve for x
    x = 931,911.18/681.86
  6. Step 6: Final answer
    x = 1,366.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.