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Finding the Third Proportional to 461.25 and 998.44

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Solution

The third proportional to 461.25 and 998.44 is: 2,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.25 : 998.44 = 998.44 : x
  2. Step 2: Convert to fraction form
    461.25/998.44 = 998.44/x
  3. Step 3: Cross multiply
    461.25x = 998.44 × 998.44
  4. Step 4: Simplify right side
    461.25x = 996,877.44
  5. Step 5: Solve for x
    x = 996,877.44/461.25
  6. Step 6: Final answer
    x = 2,161.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.