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Finding the Third Proportional to 307,138.50 and 485,652.75

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Solution

The third proportional to 307,138.50 and 485,652.75 is: 767,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,138.50 : 485,652.75 = 485,652.75 : x
  2. Step 2: Convert to fraction form
    307,138.50/485,652.75 = 485,652.75/x
  3. Step 3: Cross multiply
    307,138.50x = 485,652.75 × 485,652.75
  4. Step 4: Simplify right side
    307,138.50x = 235,858,593,582.56
  5. Step 5: Solve for x
    x = 235,858,593,582.56/307,138.50
  6. Step 6: Final answer
    x = 767,922.59

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.