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Finding the Third Proportional to 992.25 and 1,323.84

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Solution

The third proportional to 992.25 and 1,323.84 is: 1,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.25 : 1,323.84 = 1,323.84 : x
  2. Step 2: Convert to fraction form
    992.25/1,323.84 = 1,323.84/x
  3. Step 3: Cross multiply
    992.25x = 1,323.84 × 1,323.84
  4. Step 4: Simplify right side
    992.25x = 1,752,562.27
  5. Step 5: Solve for x
    x = 1,752,562.27/992.25
  6. Step 6: Final answer
    x = 1,766.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.