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Finding the Third Proportional to 413.72 and 861.47

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Solution

The third proportional to 413.72 and 861.47 is: 1,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.72 : 861.47 = 861.47 : x
  2. Step 2: Convert to fraction form
    413.72/861.47 = 861.47/x
  3. Step 3: Cross multiply
    413.72x = 861.47 × 861.47
  4. Step 4: Simplify right side
    413.72x = 742,128.41
  5. Step 5: Solve for x
    x = 742,128.41/413.72
  6. Step 6: Final answer
    x = 1,793.80

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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.