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Finding the Third Proportional to 270,252 and 573,837

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Solution

The third proportional to 270,252 and 573,837 is: 1,218,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,252 : 573,837 = 573,837 : x
  2. Step 2: Convert to fraction form
    270,252/573,837 = 573,837/x
  3. Step 3: Cross multiply
    270,252x = 573,837 × 573,837
  4. Step 4: Simplify right side
    270,252x = 329,288,902,569
  5. Step 5: Solve for x
    x = 329,288,902,569/270,252
  6. Step 6: Final answer
    x = 1,218,451.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.