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Finding the Third Proportional to 204,654 and 419,450

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Solution

The third proportional to 204,654 and 419,450 is: 859,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,654 : 419,450 = 419,450 : x
  2. Step 2: Convert to fraction form
    204,654/419,450 = 419,450/x
  3. Step 3: Cross multiply
    204,654x = 419,450 × 419,450
  4. Step 4: Simplify right side
    204,654x = 175,938,302,500
  5. Step 5: Solve for x
    x = 175,938,302,500/204,654
  6. Step 6: Final answer
    x = 859,686.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.