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Finding the Third Proportional to 212,067 and 453,555

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Solution

The third proportional to 212,067 and 453,555 is: 970,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,067 : 453,555 = 453,555 : x
  2. Step 2: Convert to fraction form
    212,067/453,555 = 453,555/x
  3. Step 3: Cross multiply
    212,067x = 453,555 × 453,555
  4. Step 4: Simplify right side
    212,067x = 205,712,138,025
  5. Step 5: Solve for x
    x = 205,712,138,025/212,067
  6. Step 6: Final answer
    x = 970,033.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.