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Finding the Third Proportional to 362.72 and 982.78

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Solution

The third proportional to 362.72 and 982.78 is: 2,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.72 : 982.78 = 982.78 : x
  2. Step 2: Convert to fraction form
    362.72/982.78 = 982.78/x
  3. Step 3: Cross multiply
    362.72x = 982.78 × 982.78
  4. Step 4: Simplify right side
    362.72x = 965,858.99
  5. Step 5: Solve for x
    x = 965,858.99/362.72
  6. Step 6: Final answer
    x = 2,662.83

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.