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Finding the Third Proportional to 204,326 and 403,412

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Solution

The third proportional to 204,326 and 403,412 is: 796,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,326 : 403,412 = 403,412 : x
  2. Step 2: Convert to fraction form
    204,326/403,412 = 403,412/x
  3. Step 3: Cross multiply
    204,326x = 403,412 × 403,412
  4. Step 4: Simplify right side
    204,326x = 162,741,241,744
  5. Step 5: Solve for x
    x = 162,741,241,744/204,326
  6. Step 6: Final answer
    x = 796,478.38

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.