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Finding the Third Proportional to 205,879.22 and 446,122.69

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Solution

The third proportional to 205,879.22 and 446,122.69 is: 966,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,879.22 : 446,122.69 = 446,122.69 : x
  2. Step 2: Convert to fraction form
    205,879.22/446,122.69 = 446,122.69/x
  3. Step 3: Cross multiply
    205,879.22x = 446,122.69 × 446,122.69
  4. Step 4: Simplify right side
    205,879.22x = 199,025,452,302.22
  5. Step 5: Solve for x
    x = 199,025,452,302.22/205,879.22
  6. Step 6: Final answer
    x = 966,709.77

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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.