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Finding the Third Proportional to 227,139 and 494,049

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Solution

The third proportional to 227,139 and 494,049 is: 1,074,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,139 : 494,049 = 494,049 : x
  2. Step 2: Convert to fraction form
    227,139/494,049 = 494,049/x
  3. Step 3: Cross multiply
    227,139x = 494,049 × 494,049
  4. Step 4: Simplify right side
    227,139x = 244,084,414,401
  5. Step 5: Solve for x
    x = 244,084,414,401/227,139
  6. Step 6: Final answer
    x = 1,074,603.72

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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.