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Finding the Third Proportional to 244,725 and 541,857

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Solution

The third proportional to 244,725 and 541,857 is: 1,199,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,725 : 541,857 = 541,857 : x
  2. Step 2: Convert to fraction form
    244,725/541,857 = 541,857/x
  3. Step 3: Cross multiply
    244,725x = 541,857 × 541,857
  4. Step 4: Simplify right side
    244,725x = 293,609,008,449
  5. Step 5: Solve for x
    x = 293,609,008,449/244,725
  6. Step 6: Final answer
    x = 1,199,750.78

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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.