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Finding the Third Proportional to 367.25 and 797.75

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Solution

The third proportional to 367.25 and 797.75 is: 1,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.25 : 797.75 = 797.75 : x
  2. Step 2: Convert to fraction form
    367.25/797.75 = 797.75/x
  3. Step 3: Cross multiply
    367.25x = 797.75 × 797.75
  4. Step 4: Simplify right side
    367.25x = 636,405.06
  5. Step 5: Solve for x
    x = 636,405.06/367.25
  6. Step 6: Final answer
    x = 1,732.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.