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Finding the Third Proportional to 204,714 and 444,390

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Solution

The third proportional to 204,714 and 444,390 is: 964,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,714 : 444,390 = 444,390 : x
  2. Step 2: Convert to fraction form
    204,714/444,390 = 444,390/x
  3. Step 3: Cross multiply
    204,714x = 444,390 × 444,390
  4. Step 4: Simplify right side
    204,714x = 197,482,472,100
  5. Step 5: Solve for x
    x = 197,482,472,100/204,714
  6. Step 6: Final answer
    x = 964,674.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.