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Finding the Third Proportional to 227,148 and 494,067

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Solution

The third proportional to 227,148 and 494,067 is: 1,074,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,148 : 494,067 = 494,067 : x
  2. Step 2: Convert to fraction form
    227,148/494,067 = 494,067/x
  3. Step 3: Cross multiply
    227,148x = 494,067 × 494,067
  4. Step 4: Simplify right side
    227,148x = 244,102,200,489
  5. Step 5: Solve for x
    x = 244,102,200,489/227,148
  6. Step 6: Final answer
    x = 1,074,639.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.