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Finding the Third Proportional to 206,848 and 446,704

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Solution

The third proportional to 206,848 and 446,704 is: 964,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,848 : 446,704 = 446,704 : x
  2. Step 2: Convert to fraction form
    206,848/446,704 = 446,704/x
  3. Step 3: Cross multiply
    206,848x = 446,704 × 446,704
  4. Step 4: Simplify right side
    206,848x = 199,544,463,616
  5. Step 5: Solve for x
    x = 199,544,463,616/206,848
  6. Step 6: Final answer
    x = 964,691.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.