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Finding the Third Proportional to 524.50 and 667.75

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Solution

The third proportional to 524.50 and 667.75 is: 850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.50 : 667.75 = 667.75 : x
  2. Step 2: Convert to fraction form
    524.50/667.75 = 667.75/x
  3. Step 3: Cross multiply
    524.50x = 667.75 × 667.75
  4. Step 4: Simplify right side
    524.50x = 445,890.06
  5. Step 5: Solve for x
    x = 445,890.06/524.50
  6. Step 6: Final answer
    x = 850.12

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.