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Finding the Third Proportional to 198,933 and 407,057

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Solution

The third proportional to 198,933 and 407,057 is: 832,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,933 : 407,057 = 407,057 : x
  2. Step 2: Convert to fraction form
    198,933/407,057 = 407,057/x
  3. Step 3: Cross multiply
    198,933x = 407,057 × 407,057
  4. Step 4: Simplify right side
    198,933x = 165,695,401,249
  5. Step 5: Solve for x
    x = 165,695,401,249/198,933
  6. Step 6: Final answer
    x = 832,920.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.