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Finding the Third Proportional to 227,124 and 494,019

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Solution

The third proportional to 227,124 and 494,019 is: 1,074,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,124 : 494,019 = 494,019 : x
  2. Step 2: Convert to fraction form
    227,124/494,019 = 494,019/x
  3. Step 3: Cross multiply
    227,124x = 494,019 × 494,019
  4. Step 4: Simplify right side
    227,124x = 244,054,772,361
  5. Step 5: Solve for x
    x = 244,054,772,361/227,124
  6. Step 6: Final answer
    x = 1,074,544.18

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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.