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Finding the Third Proportional to 204,599.25 and 437,622.75

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Solution

The third proportional to 204,599.25 and 437,622.75 is: 936,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,599.25 : 437,622.75 = 437,622.75 : x
  2. Step 2: Convert to fraction form
    204,599.25/437,622.75 = 437,622.75/x
  3. Step 3: Cross multiply
    204,599.25x = 437,622.75 × 437,622.75
  4. Step 4: Simplify right side
    204,599.25x = 191,513,671,317.56
  5. Step 5: Solve for x
    x = 191,513,671,317.56/204,599.25
  6. Step 6: Final answer
    x = 936,042.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.