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Finding the Third Proportional to 706.75 and 918.38

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Solution

The third proportional to 706.75 and 918.38 is: 1,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.75 : 918.38 = 918.38 : x
  2. Step 2: Convert to fraction form
    706.75/918.38 = 918.38/x
  3. Step 3: Cross multiply
    706.75x = 918.38 × 918.38
  4. Step 4: Simplify right side
    706.75x = 843,412.64
  5. Step 5: Solve for x
    x = 843,412.64/706.75
  6. Step 6: Final answer
    x = 1,193.37

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.