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Finding the Third Proportional to 204,838 and 426,026

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Solution

The third proportional to 204,838 and 426,026 is: 886,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,838 : 426,026 = 426,026 : x
  2. Step 2: Convert to fraction form
    204,838/426,026 = 426,026/x
  3. Step 3: Cross multiply
    204,838x = 426,026 × 426,026
  4. Step 4: Simplify right side
    204,838x = 181,498,152,676
  5. Step 5: Solve for x
    x = 181,498,152,676/204,838
  6. Step 6: Final answer
    x = 886,057.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.