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Finding the Third Proportional to 696.73 and 959.66

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Solution

The third proportional to 696.73 and 959.66 is: 1,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.73 : 959.66 = 959.66 : x
  2. Step 2: Convert to fraction form
    696.73/959.66 = 959.66/x
  3. Step 3: Cross multiply
    696.73x = 959.66 × 959.66
  4. Step 4: Simplify right side
    696.73x = 920,947.62
  5. Step 5: Solve for x
    x = 920,947.62/696.73
  6. Step 6: Final answer
    x = 1,321.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.