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Finding the Third Proportional to 457.75 and 523.75

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Solution

The third proportional to 457.75 and 523.75 is: 599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.75 : 523.75 = 523.75 : x
  2. Step 2: Convert to fraction form
    457.75/523.75 = 523.75/x
  3. Step 3: Cross multiply
    457.75x = 523.75 × 523.75
  4. Step 4: Simplify right side
    457.75x = 274,314.06
  5. Step 5: Solve for x
    x = 274,314.06/457.75
  6. Step 6: Final answer
    x = 599.27

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.