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Finding the Third Proportional to 252,896 and 541,872

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Solution

The third proportional to 252,896 and 541,872 is: 1,161,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,896 : 541,872 = 541,872 : x
  2. Step 2: Convert to fraction form
    252,896/541,872 = 541,872/x
  3. Step 3: Cross multiply
    252,896x = 541,872 × 541,872
  4. Step 4: Simplify right side
    252,896x = 293,625,264,384
  5. Step 5: Solve for x
    x = 293,625,264,384/252,896
  6. Step 6: Final answer
    x = 1,161,051.44

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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.