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Finding the Third Proportional to 227,147 and 494,065

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Solution

The third proportional to 227,147 and 494,065 is: 1,074,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,147 : 494,065 = 494,065 : x
  2. Step 2: Convert to fraction form
    227,147/494,065 = 494,065/x
  3. Step 3: Cross multiply
    227,147x = 494,065 × 494,065
  4. Step 4: Simplify right side
    227,147x = 244,100,224,225
  5. Step 5: Solve for x
    x = 244,100,224,225/227,147
  6. Step 6: Final answer
    x = 1,074,635.47

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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.