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Finding the Third Proportional to 307,163.81 and 480,795.75

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Solution

The third proportional to 307,163.81 and 480,795.75 is: 752,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,163.81 : 480,795.75 = 480,795.75 : x
  2. Step 2: Convert to fraction form
    307,163.81/480,795.75 = 480,795.75/x
  3. Step 3: Cross multiply
    307,163.81x = 480,795.75 × 480,795.75
  4. Step 4: Simplify right side
    307,163.81x = 231,164,553,218.06
  5. Step 5: Solve for x
    x = 231,164,553,218.06/307,163.81
  6. Step 6: Final answer
    x = 752,577.43

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.