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Finding the Third Proportional to 203,926 and 442,884

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Solution

The third proportional to 203,926 and 442,884 is: 961,850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,926 : 442,884 = 442,884 : x
  2. Step 2: Convert to fraction form
    203,926/442,884 = 442,884/x
  3. Step 3: Cross multiply
    203,926x = 442,884 × 442,884
  4. Step 4: Simplify right side
    203,926x = 196,146,237,456
  5. Step 5: Solve for x
    x = 196,146,237,456/203,926
  6. Step 6: Final answer
    x = 961,850.07

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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.