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Finding the Third Proportional to 227,142 and 494,055

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Solution

The third proportional to 227,142 and 494,055 is: 1,074,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,142 : 494,055 = 494,055 : x
  2. Step 2: Convert to fraction form
    227,142/494,055 = 494,055/x
  3. Step 3: Cross multiply
    227,142x = 494,055 × 494,055
  4. Step 4: Simplify right side
    227,142x = 244,090,343,025
  5. Step 5: Solve for x
    x = 244,090,343,025/227,142
  6. Step 6: Final answer
    x = 1,074,615.63

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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.