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Finding the Third Proportional to 227,524 and 481,272

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Solution

The third proportional to 227,524 and 481,272 is: 1,018,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,524 : 481,272 = 481,272 : x
  2. Step 2: Convert to fraction form
    227,524/481,272 = 481,272/x
  3. Step 3: Cross multiply
    227,524x = 481,272 × 481,272
  4. Step 4: Simplify right side
    227,524x = 231,622,737,984
  5. Step 5: Solve for x
    x = 231,622,737,984/227,524
  6. Step 6: Final answer
    x = 1,018,014.53

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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.