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Finding the Third Proportional to 307,183.50 and 638,883

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Solution

The third proportional to 307,183.50 and 638,883 is: 1,328,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,183.50 : 638,883 = 638,883 : x
  2. Step 2: Convert to fraction form
    307,183.50/638,883 = 638,883/x
  3. Step 3: Cross multiply
    307,183.50x = 638,883 × 638,883
  4. Step 4: Simplify right side
    307,183.50x = 408,171,487,689
  5. Step 5: Solve for x
    x = 408,171,487,689/307,183.50
  6. Step 6: Final answer
    x = 1,328,754.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.