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Finding the Third Proportional to 202,467 and 404,694

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Solution

The third proportional to 202,467 and 404,694 is: 808,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,467 : 404,694 = 404,694 : x
  2. Step 2: Convert to fraction form
    202,467/404,694 = 404,694/x
  3. Step 3: Cross multiply
    202,467x = 404,694 × 404,694
  4. Step 4: Simplify right side
    202,467x = 163,777,233,636
  5. Step 5: Solve for x
    x = 163,777,233,636/202,467
  6. Step 6: Final answer
    x = 808,908.28

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.