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Finding the Third Proportional to 706 and 1,183

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Solution

The third proportional to 706 and 1,183 is: 1,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706 : 1,183 = 1,183 : x
  2. Step 2: Convert to fraction form
    706/1,183 = 1,183/x
  3. Step 3: Cross multiply
    706x = 1,183 × 1,183
  4. Step 4: Simplify right side
    706x = 1,399,489
  5. Step 5: Solve for x
    x = 1,399,489/706
  6. Step 6: Final answer
    x = 1,982.28

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.