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Finding the Third Proportional to 200,973 and 436,938

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Solution

The third proportional to 200,973 and 436,938 is: 949,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,973 : 436,938 = 436,938 : x
  2. Step 2: Convert to fraction form
    200,973/436,938 = 436,938/x
  3. Step 3: Cross multiply
    200,973x = 436,938 × 436,938
  4. Step 4: Simplify right side
    200,973x = 190,914,815,844
  5. Step 5: Solve for x
    x = 190,914,815,844/200,973
  6. Step 6: Final answer
    x = 949,952.56

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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.