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Finding the Third Proportional to 307,730.25 and 494,439.75

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Solution

The third proportional to 307,730.25 and 494,439.75 is: 794,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,730.25 : 494,439.75 = 494,439.75 : x
  2. Step 2: Convert to fraction form
    307,730.25/494,439.75 = 494,439.75/x
  3. Step 3: Cross multiply
    307,730.25x = 494,439.75 × 494,439.75
  4. Step 4: Simplify right side
    307,730.25x = 244,470,666,380.06
  5. Step 5: Solve for x
    x = 244,470,666,380.06/307,730.25
  6. Step 6: Final answer
    x = 794,431.70

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.