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Finding the Third Proportional to 463.25 and 991.25

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Solution

The third proportional to 463.25 and 991.25 is: 2,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.25 : 991.25 = 991.25 : x
  2. Step 2: Convert to fraction form
    463.25/991.25 = 991.25/x
  3. Step 3: Cross multiply
    463.25x = 991.25 × 991.25
  4. Step 4: Simplify right side
    463.25x = 982,576.56
  5. Step 5: Solve for x
    x = 982,576.56/463.25
  6. Step 6: Final answer
    x = 2,121.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.