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Finding the Third Proportional to 413.75 and 452.75

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Solution

The third proportional to 413.75 and 452.75 is: 495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.75 : 452.75 = 452.75 : x
  2. Step 2: Convert to fraction form
    413.75/452.75 = 452.75/x
  3. Step 3: Cross multiply
    413.75x = 452.75 × 452.75
  4. Step 4: Simplify right side
    413.75x = 204,982.56
  5. Step 5: Solve for x
    x = 204,982.56/413.75
  6. Step 6: Final answer
    x = 495.43

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.