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Finding the Third Proportional to 523.69 and 679.22

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Solution

The third proportional to 523.69 and 679.22 is: 880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 679.22 = 679.22 : x
  2. Step 2: Convert to fraction form
    523.69/679.22 = 679.22/x
  3. Step 3: Cross multiply
    523.69x = 679.22 × 679.22
  4. Step 4: Simplify right side
    523.69x = 461,338.11
  5. Step 5: Solve for x
    x = 461,338.11/523.69
  6. Step 6: Final answer
    x = 880.94

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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.