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Finding the Third Proportional to 204,690 and 444,345

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Solution

The third proportional to 204,690 and 444,345 is: 964,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,690 : 444,345 = 444,345 : x
  2. Step 2: Convert to fraction form
    204,690/444,345 = 444,345/x
  3. Step 3: Cross multiply
    204,690x = 444,345 × 444,345
  4. Step 4: Simplify right side
    204,690x = 197,442,479,025
  5. Step 5: Solve for x
    x = 197,442,479,025/204,690
  6. Step 6: Final answer
    x = 964,592.70

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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.