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Finding the Third Proportional to 696.56 and 1,481.44

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Solution

The third proportional to 696.56 and 1,481.44 is: 3,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.56 : 1,481.44 = 1,481.44 : x
  2. Step 2: Convert to fraction form
    696.56/1,481.44 = 1,481.44/x
  3. Step 3: Cross multiply
    696.56x = 1,481.44 × 1,481.44
  4. Step 4: Simplify right side
    696.56x = 2,194,657.07
  5. Step 5: Solve for x
    x = 2,194,657.07/696.56
  6. Step 6: Final answer
    x = 3,150.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.