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Finding the Third Proportional to 363.88 and 808.38

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Solution

The third proportional to 363.88 and 808.38 is: 1,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.88 : 808.38 = 808.38 : x
  2. Step 2: Convert to fraction form
    363.88/808.38 = 808.38/x
  3. Step 3: Cross multiply
    363.88x = 808.38 × 808.38
  4. Step 4: Simplify right side
    363.88x = 653,470.14
  5. Step 5: Solve for x
    x = 653,470.14/363.88
  6. Step 6: Final answer
    x = 1,795.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.