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Finding the Third Proportional to 300,190.50 and 650,205

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Solution

The third proportional to 300,190.50 and 650,205 is: 1,408,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,190.50 : 650,205 = 650,205 : x
  2. Step 2: Convert to fraction form
    300,190.50/650,205 = 650,205/x
  3. Step 3: Cross multiply
    300,190.50x = 650,205 × 650,205
  4. Step 4: Simplify right side
    300,190.50x = 422,766,542,025
  5. Step 5: Solve for x
    x = 422,766,542,025/300,190.50
  6. Step 6: Final answer
    x = 1,408,327.52

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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.