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Finding the Third Proportional to 695.44 and 1,060.69

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Solution

The third proportional to 695.44 and 1,060.69 is: 1,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.44 : 1,060.69 = 1,060.69 : x
  2. Step 2: Convert to fraction form
    695.44/1,060.69 = 1,060.69/x
  3. Step 3: Cross multiply
    695.44x = 1,060.69 × 1,060.69
  4. Step 4: Simplify right side
    695.44x = 1,125,057.97
  5. Step 5: Solve for x
    x = 1,125,057.97/695.44
  6. Step 6: Final answer
    x = 1,617.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.