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Finding the Third Proportional to 206,844 and 445,355

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Solution

The third proportional to 206,844 and 445,355 is: 958,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,844 : 445,355 = 445,355 : x
  2. Step 2: Convert to fraction form
    206,844/445,355 = 445,355/x
  3. Step 3: Cross multiply
    206,844x = 445,355 × 445,355
  4. Step 4: Simplify right side
    206,844x = 198,341,076,025
  5. Step 5: Solve for x
    x = 198,341,076,025/206,844
  6. Step 6: Final answer
    x = 958,892.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.