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Finding the Third Proportional to 221,651 and 459,067

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Solution

The third proportional to 221,651 and 459,067 is: 950,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,651 : 459,067 = 459,067 : x
  2. Step 2: Convert to fraction form
    221,651/459,067 = 459,067/x
  3. Step 3: Cross multiply
    221,651x = 459,067 × 459,067
  4. Step 4: Simplify right side
    221,651x = 210,742,510,489
  5. Step 5: Solve for x
    x = 210,742,510,489/221,651
  6. Step 6: Final answer
    x = 950,785.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.