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Finding the Third Proportional to 767.92 and 1,998.11

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Solution

The third proportional to 767.92 and 1,998.11 is: 5,199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.92 : 1,998.11 = 1,998.11 : x
  2. Step 2: Convert to fraction form
    767.92/1,998.11 = 1,998.11/x
  3. Step 3: Cross multiply
    767.92x = 1,998.11 × 1,998.11
  4. Step 4: Simplify right side
    767.92x = 3,992,425.46
  5. Step 5: Solve for x
    x = 3,992,425.46/767.92
  6. Step 6: Final answer
    x = 5,199.03

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.