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Finding the Third Proportional to 413.86 and 839.11

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Solution

The third proportional to 413.86 and 839.11 is: 1,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.86 : 839.11 = 839.11 : x
  2. Step 2: Convert to fraction form
    413.86/839.11 = 839.11/x
  3. Step 3: Cross multiply
    413.86x = 839.11 × 839.11
  4. Step 4: Simplify right side
    413.86x = 704,104.54
  5. Step 5: Solve for x
    x = 704,104.54/413.86
  6. Step 6: Final answer
    x = 1,701.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.