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Finding the Third Proportional to 398.67 and 822.02

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Solution

The third proportional to 398.67 and 822.02 is: 1,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.67 : 822.02 = 822.02 : x
  2. Step 2: Convert to fraction form
    398.67/822.02 = 822.02/x
  3. Step 3: Cross multiply
    398.67x = 822.02 × 822.02
  4. Step 4: Simplify right side
    398.67x = 675,722.53
  5. Step 5: Solve for x
    x = 675,722.53/398.67
  6. Step 6: Final answer
    x = 1,694.93

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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.