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Finding the Third Proportional to 392.25 and 827.25

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Solution

The third proportional to 392.25 and 827.25 is: 1,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.25 : 827.25 = 827.25 : x
  2. Step 2: Convert to fraction form
    392.25/827.25 = 827.25/x
  3. Step 3: Cross multiply
    392.25x = 827.25 × 827.25
  4. Step 4: Simplify right side
    392.25x = 684,342.56
  5. Step 5: Solve for x
    x = 684,342.56/392.25
  6. Step 6: Final answer
    x = 1,744.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.