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Finding the Third Proportional to 204,674 and 430,556

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Solution

The third proportional to 204,674 and 430,556 is: 905,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,674 : 430,556 = 430,556 : x
  2. Step 2: Convert to fraction form
    204,674/430,556 = 430,556/x
  3. Step 3: Cross multiply
    204,674x = 430,556 × 430,556
  4. Step 4: Simplify right side
    204,674x = 185,378,469,136
  5. Step 5: Solve for x
    x = 185,378,469,136/204,674
  6. Step 6: Final answer
    x = 905,725.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.