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Finding the Third Proportional to 227,229 and 492,067

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Solution

The third proportional to 227,229 and 492,067 is: 1,065,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,229 : 492,067 = 492,067 : x
  2. Step 2: Convert to fraction form
    227,229/492,067 = 492,067/x
  3. Step 3: Cross multiply
    227,229x = 492,067 × 492,067
  4. Step 4: Simplify right side
    227,229x = 242,129,932,489
  5. Step 5: Solve for x
    x = 242,129,932,489/227,229
  6. Step 6: Final answer
    x = 1,065,576.72

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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.