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Finding the Third Proportional to 227,414 and 491,020

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Solution

The third proportional to 227,414 and 491,020 is: 1,060,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,414 : 491,020 = 491,020 : x
  2. Step 2: Convert to fraction form
    227,414/491,020 = 491,020/x
  3. Step 3: Cross multiply
    227,414x = 491,020 × 491,020
  4. Step 4: Simplify right side
    227,414x = 241,100,640,400
  5. Step 5: Solve for x
    x = 241,100,640,400/227,414
  6. Step 6: Final answer
    x = 1,060,183.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.