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Finding the Third Proportional to 227,718 and 494,811

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Solution

The third proportional to 227,718 and 494,811 is: 1,075,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,718 : 494,811 = 494,811 : x
  2. Step 2: Convert to fraction form
    227,718/494,811 = 494,811/x
  3. Step 3: Cross multiply
    227,718x = 494,811 × 494,811
  4. Step 4: Simplify right side
    227,718x = 244,837,925,721
  5. Step 5: Solve for x
    x = 244,837,925,721/227,718
  6. Step 6: Final answer
    x = 1,075,180.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.