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Finding the Third Proportional to 204,582 and 444,573

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Solution

The third proportional to 204,582 and 444,573 is: 966,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,582 : 444,573 = 444,573 : x
  2. Step 2: Convert to fraction form
    204,582/444,573 = 444,573/x
  3. Step 3: Cross multiply
    204,582x = 444,573 × 444,573
  4. Step 4: Simplify right side
    204,582x = 197,645,152,329
  5. Step 5: Solve for x
    x = 197,645,152,329/204,582
  6. Step 6: Final answer
    x = 966,092.58

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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.