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Finding the Third Proportional to 309,787.50 and 636,249.75

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Solution

The third proportional to 309,787.50 and 636,249.75 is: 1,306,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,787.50 : 636,249.75 = 636,249.75 : x
  2. Step 2: Convert to fraction form
    309,787.50/636,249.75 = 636,249.75/x
  3. Step 3: Cross multiply
    309,787.50x = 636,249.75 × 636,249.75
  4. Step 4: Simplify right side
    309,787.50x = 404,813,744,375.06
  5. Step 5: Solve for x
    x = 404,813,744,375.06/309,787.50
  6. Step 6: Final answer
    x = 1,306,746.54

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.