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Finding the Third Proportional to 203,924 and 442,880

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Solution

The third proportional to 203,924 and 442,880 is: 961,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,924 : 442,880 = 442,880 : x
  2. Step 2: Convert to fraction form
    203,924/442,880 = 442,880/x
  3. Step 3: Cross multiply
    203,924x = 442,880 × 442,880
  4. Step 4: Simplify right side
    203,924x = 196,142,694,400
  5. Step 5: Solve for x
    x = 196,142,694,400/203,924
  6. Step 6: Final answer
    x = 961,842.13

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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.