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Finding the Third Proportional to 696.25 and 1,512.82

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Solution

The third proportional to 696.25 and 1,512.82 is: 3,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.25 : 1,512.82 = 1,512.82 : x
  2. Step 2: Convert to fraction form
    696.25/1,512.82 = 1,512.82/x
  3. Step 3: Cross multiply
    696.25x = 1,512.82 × 1,512.82
  4. Step 4: Simplify right side
    696.25x = 2,288,616.43
  5. Step 5: Solve for x
    x = 2,288,616.43/696.25
  6. Step 6: Final answer
    x = 3,287.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.