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Finding the Third Proportional to 300,055.50 and 650,958.75

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Solution

The third proportional to 300,055.50 and 650,958.75 is: 1,412,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,055.50 : 650,958.75 = 650,958.75 : x
  2. Step 2: Convert to fraction form
    300,055.50/650,958.75 = 650,958.75/x
  3. Step 3: Cross multiply
    300,055.50x = 650,958.75 × 650,958.75
  4. Step 4: Simplify right side
    300,055.50x = 423,747,294,201.56
  5. Step 5: Solve for x
    x = 423,747,294,201.56/300,055.50
  6. Step 6: Final answer
    x = 1,412,229.72

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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.