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Finding the Third Proportional to 523 and 566.75

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Solution

The third proportional to 523 and 566.75 is: 614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 566.75 = 566.75 : x
  2. Step 2: Convert to fraction form
    523/566.75 = 566.75/x
  3. Step 3: Cross multiply
    523x = 566.75 × 566.75
  4. Step 4: Simplify right side
    523x = 321,205.56
  5. Step 5: Solve for x
    x = 321,205.56/523
  6. Step 6: Final answer
    x = 614.16

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.