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Finding the Third Proportional to 252,011 and 548,311

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Solution

The third proportional to 252,011 and 548,311 is: 1,192,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,011 : 548,311 = 548,311 : x
  2. Step 2: Convert to fraction form
    252,011/548,311 = 548,311/x
  3. Step 3: Cross multiply
    252,011x = 548,311 × 548,311
  4. Step 4: Simplify right side
    252,011x = 300,644,952,721
  5. Step 5: Solve for x
    x = 300,644,952,721/252,011
  6. Step 6: Final answer
    x = 1,192,983.45

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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.