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Finding the Third Proportional to 414.50 and 793

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Solution

The third proportional to 414.50 and 793 is: 1,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.50 : 793 = 793 : x
  2. Step 2: Convert to fraction form
    414.50/793 = 793/x
  3. Step 3: Cross multiply
    414.50x = 793 × 793
  4. Step 4: Simplify right side
    414.50x = 628,849
  5. Step 5: Solve for x
    x = 628,849/414.50
  6. Step 6: Final answer
    x = 1,517.13

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.