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Finding the Third Proportional to 393.25 and 824.75

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Solution

The third proportional to 393.25 and 824.75 is: 1,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.25 : 824.75 = 824.75 : x
  2. Step 2: Convert to fraction form
    393.25/824.75 = 824.75/x
  3. Step 3: Cross multiply
    393.25x = 824.75 × 824.75
  4. Step 4: Simplify right side
    393.25x = 680,212.56
  5. Step 5: Solve for x
    x = 680,212.56/393.25
  6. Step 6: Final answer
    x = 1,729.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.