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Finding the Third Proportional to 300,115.50 and 650,055

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Solution

The third proportional to 300,115.50 and 650,055 is: 1,408,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,115.50 : 650,055 = 650,055 : x
  2. Step 2: Convert to fraction form
    300,115.50/650,055 = 650,055/x
  3. Step 3: Cross multiply
    300,115.50x = 650,055 × 650,055
  4. Step 4: Simplify right side
    300,115.50x = 422,571,503,025
  5. Step 5: Solve for x
    x = 422,571,503,025/300,115.50
  6. Step 6: Final answer
    x = 1,408,029.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.