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Finding the Third Proportional to 706.13 and 911.06

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Solution

The third proportional to 706.13 and 911.06 is: 1,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.13 : 911.06 = 911.06 : x
  2. Step 2: Convert to fraction form
    706.13/911.06 = 911.06/x
  3. Step 3: Cross multiply
    706.13x = 911.06 × 911.06
  4. Step 4: Simplify right side
    706.13x = 830,034.88
  5. Step 5: Solve for x
    x = 830,034.88/706.13
  6. Step 6: Final answer
    x = 1,175.48

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.