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Finding the Third Proportional to 203,243 and 446,704

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Solution

The third proportional to 203,243 and 446,704 is: 981,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,243 : 446,704 = 446,704 : x
  2. Step 2: Convert to fraction form
    203,243/446,704 = 446,704/x
  3. Step 3: Cross multiply
    203,243x = 446,704 × 446,704
  4. Step 4: Simplify right side
    203,243x = 199,544,463,616
  5. Step 5: Solve for x
    x = 199,544,463,616/203,243
  6. Step 6: Final answer
    x = 981,802.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.