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Finding the Third Proportional to 203,630 and 447,424

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Solution

The third proportional to 203,630 and 447,424 is: 983,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,630 : 447,424 = 447,424 : x
  2. Step 2: Convert to fraction form
    203,630/447,424 = 447,424/x
  3. Step 3: Cross multiply
    203,630x = 447,424 × 447,424
  4. Step 4: Simplify right side
    203,630x = 200,188,235,776
  5. Step 5: Solve for x
    x = 200,188,235,776/203,630
  6. Step 6: Final answer
    x = 983,097.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.