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Finding the Third Proportional to 698.06 and 1,108.69

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Solution

The third proportional to 698.06 and 1,108.69 is: 1,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.06 : 1,108.69 = 1,108.69 : x
  2. Step 2: Convert to fraction form
    698.06/1,108.69 = 1,108.69/x
  3. Step 3: Cross multiply
    698.06x = 1,108.69 × 1,108.69
  4. Step 4: Simplify right side
    698.06x = 1,229,187.97
  5. Step 5: Solve for x
    x = 1,229,187.97/698.06
  6. Step 6: Final answer
    x = 1,760.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.