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Finding the Third Proportional to 200,504 and 413,728

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Solution

The third proportional to 200,504 and 413,728 is: 853,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,504 : 413,728 = 413,728 : x
  2. Step 2: Convert to fraction form
    200,504/413,728 = 413,728/x
  3. Step 3: Cross multiply
    200,504x = 413,728 × 413,728
  4. Step 4: Simplify right side
    200,504x = 171,170,857,984
  5. Step 5: Solve for x
    x = 171,170,857,984/200,504
  6. Step 6: Final answer
    x = 853,702.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.