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Finding the Third Proportional to 579.23 and 1,234.41

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Solution

The third proportional to 579.23 and 1,234.41 is: 2,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.23 : 1,234.41 = 1,234.41 : x
  2. Step 2: Convert to fraction form
    579.23/1,234.41 = 1,234.41/x
  3. Step 3: Cross multiply
    579.23x = 1,234.41 × 1,234.41
  4. Step 4: Simplify right side
    579.23x = 1,523,758.79
  5. Step 5: Solve for x
    x = 1,523,758.79/579.23
  6. Step 6: Final answer
    x = 2,630.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.