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Finding the Third Proportional to 325,273.85 and 704,847.45

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Solution

The third proportional to 325,273.85 and 704,847.45 is: 1,527,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,273.85 : 704,847.45 = 704,847.45 : x
  2. Step 2: Convert to fraction form
    325,273.85/704,847.45 = 704,847.45/x
  3. Step 3: Cross multiply
    325,273.85x = 704,847.45 × 704,847.45
  4. Step 4: Simplify right side
    325,273.85x = 496,809,921,163.56
  5. Step 5: Solve for x
    x = 496,809,921,163.56/325,273.85
  6. Step 6: Final answer
    x = 1,527,358.93

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