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Finding the Third Proportional to 204,003 and 445,822

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Solution

The third proportional to 204,003 and 445,822 is: 974,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,003 : 445,822 = 445,822 : x
  2. Step 2: Convert to fraction form
    204,003/445,822 = 445,822/x
  3. Step 3: Cross multiply
    204,003x = 445,822 × 445,822
  4. Step 4: Simplify right side
    204,003x = 198,757,255,684
  5. Step 5: Solve for x
    x = 198,757,255,684/204,003
  6. Step 6: Final answer
    x = 974,285.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.