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Finding the Third Proportional to 363.08 and 773.14

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Solution

The third proportional to 363.08 and 773.14 is: 1,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.08 : 773.14 = 773.14 : x
  2. Step 2: Convert to fraction form
    363.08/773.14 = 773.14/x
  3. Step 3: Cross multiply
    363.08x = 773.14 × 773.14
  4. Step 4: Simplify right side
    363.08x = 597,743.41
  5. Step 5: Solve for x
    x = 597,743.41/363.08
  6. Step 6: Final answer
    x = 1,646.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.