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Finding the Third Proportional to 204,839 and 446,330

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Solution

The third proportional to 204,839 and 446,330 is: 972,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,839 : 446,330 = 446,330 : x
  2. Step 2: Convert to fraction form
    204,839/446,330 = 446,330/x
  3. Step 3: Cross multiply
    204,839x = 446,330 × 446,330
  4. Step 4: Simplify right side
    204,839x = 199,210,468,900
  5. Step 5: Solve for x
    x = 199,210,468,900/204,839
  6. Step 6: Final answer
    x = 972,522.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.