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Finding the Third Proportional to 330.75 and 820.38

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Solution

The third proportional to 330.75 and 820.38 is: 2,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.75 : 820.38 = 820.38 : x
  2. Step 2: Convert to fraction form
    330.75/820.38 = 820.38/x
  3. Step 3: Cross multiply
    330.75x = 820.38 × 820.38
  4. Step 4: Simplify right side
    330.75x = 673,015.14
  5. Step 5: Solve for x
    x = 673,015.14/330.75
  6. Step 6: Final answer
    x = 2,034.82

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.