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Finding the Third Proportional to 227,145 and 494,061

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Solution

The third proportional to 227,145 and 494,061 is: 1,074,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,145 : 494,061 = 494,061 : x
  2. Step 2: Convert to fraction form
    227,145/494,061 = 494,061/x
  3. Step 3: Cross multiply
    227,145x = 494,061 × 494,061
  4. Step 4: Simplify right side
    227,145x = 244,096,271,721
  5. Step 5: Solve for x
    x = 244,096,271,721/227,145
  6. Step 6: Final answer
    x = 1,074,627.54

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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.