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Finding the Third Proportional to 307,455.75 and 675,438.75

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Solution

The third proportional to 307,455.75 and 675,438.75 is: 1,483,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,455.75 : 675,438.75 = 675,438.75 : x
  2. Step 2: Convert to fraction form
    307,455.75/675,438.75 = 675,438.75/x
  3. Step 3: Cross multiply
    307,455.75x = 675,438.75 × 675,438.75
  4. Step 4: Simplify right side
    307,455.75x = 456,217,505,001.56
  5. Step 5: Solve for x
    x = 456,217,505,001.56/307,455.75
  6. Step 6: Final answer
    x = 1,483,847.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.