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Finding the Third Proportional to 220,981.50 and 483,759

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Solution

The third proportional to 220,981.50 and 483,759 is: 1,059,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,981.50 : 483,759 = 483,759 : x
  2. Step 2: Convert to fraction form
    220,981.50/483,759 = 483,759/x
  3. Step 3: Cross multiply
    220,981.50x = 483,759 × 483,759
  4. Step 4: Simplify right side
    220,981.50x = 234,022,770,081
  5. Step 5: Solve for x
    x = 234,022,770,081/220,981.50
  6. Step 6: Final answer
    x = 1,059,015.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.