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Finding the Third Proportional to 486,183.50 and 769,231.50

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Solution

The third proportional to 486,183.50 and 769,231.50 is: 1,217,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,183.50 : 769,231.50 = 769,231.50 : x
  2. Step 2: Convert to fraction form
    486,183.50/769,231.50 = 769,231.50/x
  3. Step 3: Cross multiply
    486,183.50x = 769,231.50 × 769,231.50
  4. Step 4: Simplify right side
    486,183.50x = 591,717,100,592.25
  5. Step 5: Solve for x
    x = 591,717,100,592.25/486,183.50
  6. Step 6: Final answer
    x = 1,217,065.37

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Why These Related Problems?

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