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Finding the Third Proportional to 218,801 and 483,529

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Solution

The third proportional to 218,801 and 483,529 is: 1,068,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,801 : 483,529 = 483,529 : x
  2. Step 2: Convert to fraction form
    218,801/483,529 = 483,529/x
  3. Step 3: Cross multiply
    218,801x = 483,529 × 483,529
  4. Step 4: Simplify right side
    218,801x = 233,800,293,841
  5. Step 5: Solve for x
    x = 233,800,293,841/218,801
  6. Step 6: Final answer
    x = 1,068,552.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.