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Finding the Third Proportional to 568.25 and 806.38

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Solution

The third proportional to 568.25 and 806.38 is: 1,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.25 : 806.38 = 806.38 : x
  2. Step 2: Convert to fraction form
    568.25/806.38 = 806.38/x
  3. Step 3: Cross multiply
    568.25x = 806.38 × 806.38
  4. Step 4: Simplify right side
    568.25x = 650,240.64
  5. Step 5: Solve for x
    x = 650,240.64/568.25
  6. Step 6: Final answer
    x = 1,144.29

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.