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Finding the Third Proportional to 263,050 and 636,027

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Solution

The third proportional to 263,050 and 636,027 is: 1,537,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,050 : 636,027 = 636,027 : x
  2. Step 2: Convert to fraction form
    263,050/636,027 = 636,027/x
  3. Step 3: Cross multiply
    263,050x = 636,027 × 636,027
  4. Step 4: Simplify right side
    263,050x = 404,530,344,729
  5. Step 5: Solve for x
    x = 404,530,344,729/263,050
  6. Step 6: Final answer
    x = 1,537,845.83

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.