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Finding the Third Proportional to 227,034 and 481,743

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Solution

The third proportional to 227,034 and 481,743 is: 1,022,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,034 : 481,743 = 481,743 : x
  2. Step 2: Convert to fraction form
    227,034/481,743 = 481,743/x
  3. Step 3: Cross multiply
    227,034x = 481,743 × 481,743
  4. Step 4: Simplify right side
    227,034x = 232,076,318,049
  5. Step 5: Solve for x
    x = 232,076,318,049/227,034
  6. Step 6: Final answer
    x = 1,022,209.53

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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.