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Finding the Third Proportional to 252,891 and 541,863

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Solution

The third proportional to 252,891 and 541,863 is: 1,161,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,891 : 541,863 = 541,863 : x
  2. Step 2: Convert to fraction form
    252,891/541,863 = 541,863/x
  3. Step 3: Cross multiply
    252,891x = 541,863 × 541,863
  4. Step 4: Simplify right side
    252,891x = 293,615,510,769
  5. Step 5: Solve for x
    x = 293,615,510,769/252,891
  6. Step 6: Final answer
    x = 1,161,035.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.