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Finding the Third Proportional to 823.88 and 999.38

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Solution

The third proportional to 823.88 and 999.38 is: 1,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.88 : 999.38 = 999.38 : x
  2. Step 2: Convert to fraction form
    823.88/999.38 = 999.38/x
  3. Step 3: Cross multiply
    823.88x = 999.38 × 999.38
  4. Step 4: Simplify right side
    823.88x = 998,750.39
  5. Step 5: Solve for x
    x = 998,750.39/823.88
  6. Step 6: Final answer
    x = 1,212.26

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.