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Finding the Third Proportional to 303,576.75 and 653,874.75

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Solution

The third proportional to 303,576.75 and 653,874.75 is: 1,408,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,576.75 : 653,874.75 = 653,874.75 : x
  2. Step 2: Convert to fraction form
    303,576.75/653,874.75 = 653,874.75/x
  3. Step 3: Cross multiply
    303,576.75x = 653,874.75 × 653,874.75
  4. Step 4: Simplify right side
    303,576.75x = 427,552,188,687.56
  5. Step 5: Solve for x
    x = 427,552,188,687.56/303,576.75
  6. Step 6: Final answer
    x = 1,408,382.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.