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Finding the Third Proportional to 268,864 and 412,695

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Solution

The third proportional to 268,864 and 412,695 is: 633,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,864 : 412,695 = 412,695 : x
  2. Step 2: Convert to fraction form
    268,864/412,695 = 412,695/x
  3. Step 3: Cross multiply
    268,864x = 412,695 × 412,695
  4. Step 4: Simplify right side
    268,864x = 170,317,163,025
  5. Step 5: Solve for x
    x = 170,317,163,025/268,864
  6. Step 6: Final answer
    x = 633,469.57

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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.