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Finding the Third Proportional to 220,993.50 and 482,469

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Solution

The third proportional to 220,993.50 and 482,469 is: 1,053,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,993.50 : 482,469 = 482,469 : x
  2. Step 2: Convert to fraction form
    220,993.50/482,469 = 482,469/x
  3. Step 3: Cross multiply
    220,993.50x = 482,469 × 482,469
  4. Step 4: Simplify right side
    220,993.50x = 232,776,335,961
  5. Step 5: Solve for x
    x = 232,776,335,961/220,993.50
  6. Step 6: Final answer
    x = 1,053,317.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.