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Finding the Third Proportional to 367.75 and 808.63

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Solution

The third proportional to 367.75 and 808.63 is: 1,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.75 : 808.63 = 808.63 : x
  2. Step 2: Convert to fraction form
    367.75/808.63 = 808.63/x
  3. Step 3: Cross multiply
    367.75x = 808.63 × 808.63
  4. Step 4: Simplify right side
    367.75x = 653,874.39
  5. Step 5: Solve for x
    x = 653,874.39/367.75
  6. Step 6: Final answer
    x = 1,778.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.