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Finding the Third Proportional to 200,796.38 and 436,584.75

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Solution

The third proportional to 200,796.38 and 436,584.75 is: 949,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,796.38 : 436,584.75 = 436,584.75 : x
  2. Step 2: Convert to fraction form
    200,796.38/436,584.75 = 436,584.75/x
  3. Step 3: Cross multiply
    200,796.38x = 436,584.75 × 436,584.75
  4. Step 4: Simplify right side
    200,796.38x = 190,606,243,932.56
  5. Step 5: Solve for x
    x = 190,606,243,932.56/200,796.38
  6. Step 6: Final answer
    x = 949,251.42

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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.