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Finding the Third Proportional to 204,009 and 445,834

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Solution

The third proportional to 204,009 and 445,834 is: 974,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,009 : 445,834 = 445,834 : x
  2. Step 2: Convert to fraction form
    204,009/445,834 = 445,834/x
  3. Step 3: Cross multiply
    204,009x = 445,834 × 445,834
  4. Step 4: Simplify right side
    204,009x = 198,767,955,556
  5. Step 5: Solve for x
    x = 198,767,955,556/204,009
  6. Step 6: Final answer
    x = 974,309.74

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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.