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Finding the Third Proportional to 244,377 and 541,242

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Solution

The third proportional to 244,377 and 541,242 is: 1,198,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,377 : 541,242 = 541,242 : x
  2. Step 2: Convert to fraction form
    244,377/541,242 = 541,242/x
  3. Step 3: Cross multiply
    244,377x = 541,242 × 541,242
  4. Step 4: Simplify right side
    244,377x = 292,942,902,564
  5. Step 5: Solve for x
    x = 292,942,902,564/244,377
  6. Step 6: Final answer
    x = 1,198,733.52

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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.