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Finding the Third Proportional to 200,982 and 436,956

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Solution

The third proportional to 200,982 and 436,956 is: 949,988.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,982 : 436,956 = 436,956 : x
  2. Step 2: Convert to fraction form
    200,982/436,956 = 436,956/x
  3. Step 3: Cross multiply
    200,982x = 436,956 × 436,956
  4. Step 4: Simplify right side
    200,982x = 190,930,545,936
  5. Step 5: Solve for x
    x = 190,930,545,936/200,982
  6. Step 6: Final answer
    x = 949,988.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.