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Finding the Third Proportional to 398.25 and 821.25

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Solution

The third proportional to 398.25 and 821.25 is: 1,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.25 : 821.25 = 821.25 : x
  2. Step 2: Convert to fraction form
    398.25/821.25 = 821.25/x
  3. Step 3: Cross multiply
    398.25x = 821.25 × 821.25
  4. Step 4: Simplify right side
    398.25x = 674,451.56
  5. Step 5: Solve for x
    x = 674,451.56/398.25
  6. Step 6: Final answer
    x = 1,693.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.