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Finding the Third Proportional to 823.50 and 992.25

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Solution

The third proportional to 823.50 and 992.25 is: 1,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 992.25 = 992.25 : x
  2. Step 2: Convert to fraction form
    823.50/992.25 = 992.25/x
  3. Step 3: Cross multiply
    823.50x = 992.25 × 992.25
  4. Step 4: Simplify right side
    823.50x = 984,560.06
  5. Step 5: Solve for x
    x = 984,560.06/823.50
  6. Step 6: Final answer
    x = 1,195.58

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.