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Finding the Third Proportional to 307,806.75 and 658,190.81

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Solution

The third proportional to 307,806.75 and 658,190.81 is: 1,407,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,806.75 : 658,190.81 = 658,190.81 : x
  2. Step 2: Convert to fraction form
    307,806.75/658,190.81 = 658,190.81/x
  3. Step 3: Cross multiply
    307,806.75x = 658,190.81 × 658,190.81
  4. Step 4: Simplify right side
    307,806.75x = 433,215,145,659.41
  5. Step 5: Solve for x
    x = 433,215,145,659.41/307,806.75
  6. Step 6: Final answer
    x = 1,407,425.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.