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Finding the Third Proportional to 363.19 and 808.97

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Solution

The third proportional to 363.19 and 808.97 is: 1,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.19 : 808.97 = 808.97 : x
  2. Step 2: Convert to fraction form
    363.19/808.97 = 808.97/x
  3. Step 3: Cross multiply
    363.19x = 808.97 × 808.97
  4. Step 4: Simplify right side
    363.19x = 654,430.44
  5. Step 5: Solve for x
    x = 654,430.44/363.19
  6. Step 6: Final answer
    x = 1,801.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.