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Finding the Third Proportional to 203,676 and 447,474

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Solution

The third proportional to 203,676 and 447,474 is: 983,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,676 : 447,474 = 447,474 : x
  2. Step 2: Convert to fraction form
    203,676/447,474 = 447,474/x
  3. Step 3: Cross multiply
    203,676x = 447,474 × 447,474
  4. Step 4: Simplify right side
    203,676x = 200,232,980,676
  5. Step 5: Solve for x
    x = 200,232,980,676/203,676
  6. Step 6: Final answer
    x = 983,095.61

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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.