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Finding the Third Proportional to 227,574 and 327,812

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Solution

The third proportional to 227,574 and 327,812 is: 472,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,574 : 327,812 = 327,812 : x
  2. Step 2: Convert to fraction form
    227,574/327,812 = 327,812/x
  3. Step 3: Cross multiply
    227,574x = 327,812 × 327,812
  4. Step 4: Simplify right side
    227,574x = 107,460,707,344
  5. Step 5: Solve for x
    x = 107,460,707,344/227,574
  6. Step 6: Final answer
    x = 472,201.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.