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Finding the Third Proportional to 300,559.50 and 449,897.25

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Solution

The third proportional to 300,559.50 and 449,897.25 is: 673,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,559.50 : 449,897.25 = 449,897.25 : x
  2. Step 2: Convert to fraction form
    300,559.50/449,897.25 = 449,897.25/x
  3. Step 3: Cross multiply
    300,559.50x = 449,897.25 × 449,897.25
  4. Step 4: Simplify right side
    300,559.50x = 202,407,535,557.56
  5. Step 5: Solve for x
    x = 202,407,535,557.56/300,559.50
  6. Step 6: Final answer
    x = 673,435.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.