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Finding the Third Proportional to 251,856 and 548,019

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Solution

The third proportional to 251,856 and 548,019 is: 1,192,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,856 : 548,019 = 548,019 : x
  2. Step 2: Convert to fraction form
    251,856/548,019 = 548,019/x
  3. Step 3: Cross multiply
    251,856x = 548,019 × 548,019
  4. Step 4: Simplify right side
    251,856x = 300,324,824,361
  5. Step 5: Solve for x
    x = 300,324,824,361/251,856
  6. Step 6: Final answer
    x = 1,192,446.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.