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Finding the Third Proportional to 252,893 and 541,867

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Solution

The third proportional to 252,893 and 541,867 is: 1,161,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,893 : 541,867 = 541,867 : x
  2. Step 2: Convert to fraction form
    252,893/541,867 = 541,867/x
  3. Step 3: Cross multiply
    252,893x = 541,867 × 541,867
  4. Step 4: Simplify right side
    252,893x = 293,619,845,689
  5. Step 5: Solve for x
    x = 293,619,845,689/252,893
  6. Step 6: Final answer
    x = 1,161,043.78

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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.