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Finding the Third Proportional to 203,927 and 442,879

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Solution

The third proportional to 203,927 and 442,879 is: 961,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,927 : 442,879 = 442,879 : x
  2. Step 2: Convert to fraction form
    203,927/442,879 = 442,879/x
  3. Step 3: Cross multiply
    203,927x = 442,879 × 442,879
  4. Step 4: Simplify right side
    203,927x = 196,141,808,641
  5. Step 5: Solve for x
    x = 196,141,808,641/203,927
  6. Step 6: Final answer
    x = 961,823.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.