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Finding the Third Proportional to 413.25 and 664.75

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Solution

The third proportional to 413.25 and 664.75 is: 1,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 664.75 = 664.75 : x
  2. Step 2: Convert to fraction form
    413.25/664.75 = 664.75/x
  3. Step 3: Cross multiply
    413.25x = 664.75 × 664.75
  4. Step 4: Simplify right side
    413.25x = 441,892.56
  5. Step 5: Solve for x
    x = 441,892.56/413.25
  6. Step 6: Final answer
    x = 1,069.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.