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Finding the Third Proportional to 413.75 and 447.75

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Solution

The third proportional to 413.75 and 447.75 is: 484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.75 : 447.75 = 447.75 : x
  2. Step 2: Convert to fraction form
    413.75/447.75 = 447.75/x
  3. Step 3: Cross multiply
    413.75x = 447.75 × 447.75
  4. Step 4: Simplify right side
    413.75x = 200,480.06
  5. Step 5: Solve for x
    x = 200,480.06/413.75
  6. Step 6: Final answer
    x = 484.54

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.