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Finding the Third Proportional to 523 and 679

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Solution

The third proportional to 523 and 679 is: 881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 679 = 679 : x
  2. Step 2: Convert to fraction form
    523/679 = 679/x
  3. Step 3: Cross multiply
    523x = 679 × 679
  4. Step 4: Simplify right side
    523x = 461,041
  5. Step 5: Solve for x
    x = 461,041/523
  6. Step 6: Final answer
    x = 881.53

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.