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Finding the Third Proportional to 220,010 and 330,500

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Solution

The third proportional to 220,010 and 330,500 is: 496,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,010 : 330,500 = 330,500 : x
  2. Step 2: Convert to fraction form
    220,010/330,500 = 330,500/x
  3. Step 3: Cross multiply
    220,010x = 330,500 × 330,500
  4. Step 4: Simplify right side
    220,010x = 109,230,250,000
  5. Step 5: Solve for x
    x = 109,230,250,000/220,010
  6. Step 6: Final answer
    x = 496,478.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.