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Finding the Third Proportional to 204,019 and 441,918

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Solution

The third proportional to 204,019 and 441,918 is: 957,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,019 : 441,918 = 441,918 : x
  2. Step 2: Convert to fraction form
    204,019/441,918 = 441,918/x
  3. Step 3: Cross multiply
    204,019x = 441,918 × 441,918
  4. Step 4: Simplify right side
    204,019x = 195,291,518,724
  5. Step 5: Solve for x
    x = 195,291,518,724/204,019
  6. Step 6: Final answer
    x = 957,222.21

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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.