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Finding the Third Proportional to 568.55 and 850.64

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Solution

The third proportional to 568.55 and 850.64 is: 1,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.55 : 850.64 = 850.64 : x
  2. Step 2: Convert to fraction form
    568.55/850.64 = 850.64/x
  3. Step 3: Cross multiply
    568.55x = 850.64 × 850.64
  4. Step 4: Simplify right side
    568.55x = 723,589.47
  5. Step 5: Solve for x
    x = 723,589.47/568.55
  6. Step 6: Final answer
    x = 1,272.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.