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Finding the Third Proportional to 204,007 and 445,830

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Solution

The third proportional to 204,007 and 445,830 is: 974,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,007 : 445,830 = 445,830 : x
  2. Step 2: Convert to fraction form
    204,007/445,830 = 445,830/x
  3. Step 3: Cross multiply
    204,007x = 445,830 × 445,830
  4. Step 4: Simplify right side
    204,007x = 198,764,388,900
  5. Step 5: Solve for x
    x = 198,764,388,900/204,007
  6. Step 6: Final answer
    x = 974,301.81

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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.