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Finding the Third Proportional to 718,231.50 and 1,542,300.75

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Solution

The third proportional to 718,231.50 and 1,542,300.75 is: 3,311,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,231.50 : 1,542,300.75 = 1,542,300.75 : x
  2. Step 2: Convert to fraction form
    718,231.50/1,542,300.75 = 1,542,300.75/x
  3. Step 3: Cross multiply
    718,231.50x = 1,542,300.75 × 1,542,300.75
  4. Step 4: Simplify right side
    718,231.50x = 2,378,691,603,450.56
  5. Step 5: Solve for x
    x = 2,378,691,603,450.56/718,231.50
  6. Step 6: Final answer
    x = 3,311,873.13

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Why These Related Problems?

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