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Finding the Third Proportional to 413.81 and 861.56

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Solution

The third proportional to 413.81 and 861.56 is: 1,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.81 : 861.56 = 861.56 : x
  2. Step 2: Convert to fraction form
    413.81/861.56 = 861.56/x
  3. Step 3: Cross multiply
    413.81x = 861.56 × 861.56
  4. Step 4: Simplify right side
    413.81x = 742,289.94
  5. Step 5: Solve for x
    x = 742,289.94/413.81
  6. Step 6: Final answer
    x = 1,793.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.