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Finding the Third Proportional to 523 and 637

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Solution

The third proportional to 523 and 637 is: 775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 637 = 637 : x
  2. Step 2: Convert to fraction form
    523/637 = 637/x
  3. Step 3: Cross multiply
    523x = 637 × 637
  4. Step 4: Simplify right side
    523x = 405,769
  5. Step 5: Solve for x
    x = 405,769/523
  6. Step 6: Final answer
    x = 775.85

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.