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Finding the Third Proportional to 413.16 and 860.34

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Solution

The third proportional to 413.16 and 860.34 is: 1,791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.16 : 860.34 = 860.34 : x
  2. Step 2: Convert to fraction form
    413.16/860.34 = 860.34/x
  3. Step 3: Cross multiply
    413.16x = 860.34 × 860.34
  4. Step 4: Simplify right side
    413.16x = 740,191.37
  5. Step 5: Solve for x
    x = 740,191.37/413.16
  6. Step 6: Final answer
    x = 1,791.55

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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.