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Finding the Third Proportional to 523.69 and 1,234.97

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Solution

The third proportional to 523.69 and 1,234.97 is: 2,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 1,234.97 = 1,234.97 : x
  2. Step 2: Convert to fraction form
    523.69/1,234.97 = 1,234.97/x
  3. Step 3: Cross multiply
    523.69x = 1,234.97 × 1,234.97
  4. Step 4: Simplify right side
    523.69x = 1,525,147.81
  5. Step 5: Solve for x
    x = 1,525,147.81/523.69
  6. Step 6: Final answer
    x = 2,912.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.