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Finding the Third Proportional to 201,279 and 411,297

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Solution

The third proportional to 201,279 and 411,297 is: 840,451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,279 : 411,297 = 411,297 : x
  2. Step 2: Convert to fraction form
    201,279/411,297 = 411,297/x
  3. Step 3: Cross multiply
    201,279x = 411,297 × 411,297
  4. Step 4: Simplify right side
    201,279x = 169,165,222,209
  5. Step 5: Solve for x
    x = 169,165,222,209/201,279
  6. Step 6: Final answer
    x = 840,451.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.