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Finding the Third Proportional to 227,061 and 481,800

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Solution

The third proportional to 227,061 and 481,800 is: 1,022,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,061 : 481,800 = 481,800 : x
  2. Step 2: Convert to fraction form
    227,061/481,800 = 481,800/x
  3. Step 3: Cross multiply
    227,061x = 481,800 × 481,800
  4. Step 4: Simplify right side
    227,061x = 232,131,240,000
  5. Step 5: Solve for x
    x = 232,131,240,000/227,061
  6. Step 6: Final answer
    x = 1,022,329.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.