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Finding the Third Proportional to 203,786 and 442,611

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Solution

The third proportional to 203,786 and 442,611 is: 961,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,786 : 442,611 = 442,611 : x
  2. Step 2: Convert to fraction form
    203,786/442,611 = 442,611/x
  3. Step 3: Cross multiply
    203,786x = 442,611 × 442,611
  4. Step 4: Simplify right side
    203,786x = 195,904,497,321
  5. Step 5: Solve for x
    x = 195,904,497,321/203,786
  6. Step 6: Final answer
    x = 961,324.61

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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.