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Finding the Third Proportional to 392.06 and 911.81

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Solution

The third proportional to 392.06 and 911.81 is: 2,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.06 : 911.81 = 911.81 : x
  2. Step 2: Convert to fraction form
    392.06/911.81 = 911.81/x
  3. Step 3: Cross multiply
    392.06x = 911.81 × 911.81
  4. Step 4: Simplify right side
    392.06x = 831,402.04
  5. Step 5: Solve for x
    x = 831,402.04/392.06
  6. Step 6: Final answer
    x = 2,120.59

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.