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Finding the Third Proportional to 268,843 and 412,634

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Solution

The third proportional to 268,843 and 412,634 is: 633,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,843 : 412,634 = 412,634 : x
  2. Step 2: Convert to fraction form
    268,843/412,634 = 412,634/x
  3. Step 3: Cross multiply
    268,843x = 412,634 × 412,634
  4. Step 4: Simplify right side
    268,843x = 170,266,817,956
  5. Step 5: Solve for x
    x = 170,266,817,956/268,843
  6. Step 6: Final answer
    x = 633,331.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.