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Finding the Third Proportional to 270,003.38 and 636,553.69

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Solution

The third proportional to 270,003.38 and 636,553.69 is: 1,500,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,003.38 : 636,553.69 = 636,553.69 : x
  2. Step 2: Convert to fraction form
    270,003.38/636,553.69 = 636,553.69/x
  3. Step 3: Cross multiply
    270,003.38x = 636,553.69 × 636,553.69
  4. Step 4: Simplify right side
    270,003.38x = 405,200,597,069.85
  5. Step 5: Solve for x
    x = 405,200,597,069.85/270,003.38
  6. Step 6: Final answer
    x = 1,500,724.19

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.