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Finding the Third Proportional to 244,456 and 541,401

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Solution

The third proportional to 244,456 and 541,401 is: 1,199,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,456 : 541,401 = 541,401 : x
  2. Step 2: Convert to fraction form
    244,456/541,401 = 541,401/x
  3. Step 3: Cross multiply
    244,456x = 541,401 × 541,401
  4. Step 4: Simplify right side
    244,456x = 293,115,042,801
  5. Step 5: Solve for x
    x = 293,115,042,801/244,456
  6. Step 6: Final answer
    x = 1,199,050.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.