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Finding the Third Proportional to 220,059 and 480,591

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Solution

The third proportional to 220,059 and 480,591 is: 1,049,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,059 : 480,591 = 480,591 : x
  2. Step 2: Convert to fraction form
    220,059/480,591 = 480,591/x
  3. Step 3: Cross multiply
    220,059x = 480,591 × 480,591
  4. Step 4: Simplify right side
    220,059x = 230,967,709,281
  5. Step 5: Solve for x
    x = 230,967,709,281/220,059
  6. Step 6: Final answer
    x = 1,049,571.75

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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.