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Finding the Third Proportional to 200,908 and 422,504

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Solution

The third proportional to 200,908 and 422,504 is: 888,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908 : 422,504 = 422,504 : x
  2. Step 2: Convert to fraction form
    200,908/422,504 = 422,504/x
  3. Step 3: Cross multiply
    200,908x = 422,504 × 422,504
  4. Step 4: Simplify right side
    200,908x = 178,509,630,016
  5. Step 5: Solve for x
    x = 178,509,630,016/200,908
  6. Step 6: Final answer
    x = 888,514.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.