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Finding the Third Proportional to 207,899 and 446,856

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Solution

The third proportional to 207,899 and 446,856 is: 960,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,899 : 446,856 = 446,856 : x
  2. Step 2: Convert to fraction form
    207,899/446,856 = 446,856/x
  3. Step 3: Cross multiply
    207,899x = 446,856 × 446,856
  4. Step 4: Simplify right side
    207,899x = 199,680,284,736
  5. Step 5: Solve for x
    x = 199,680,284,736/207,899
  6. Step 6: Final answer
    x = 960,467.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.