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Finding the Third Proportional to 466.75 and 998.38

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Solution

The third proportional to 466.75 and 998.38 is: 2,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.75 : 998.38 = 998.38 : x
  2. Step 2: Convert to fraction form
    466.75/998.38 = 998.38/x
  3. Step 3: Cross multiply
    466.75x = 998.38 × 998.38
  4. Step 4: Simplify right side
    466.75x = 996,752.64
  5. Step 5: Solve for x
    x = 996,752.64/466.75
  6. Step 6: Final answer
    x = 2,135.52

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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.