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Finding the Third Proportional to 220,698 and 472,500

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Solution

The third proportional to 220,698 and 472,500 is: 1,011,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,698 : 472,500 = 472,500 : x
  2. Step 2: Convert to fraction form
    220,698/472,500 = 472,500/x
  3. Step 3: Cross multiply
    220,698x = 472,500 × 472,500
  4. Step 4: Simplify right side
    220,698x = 223,256,250,000
  5. Step 5: Solve for x
    x = 223,256,250,000/220,698
  6. Step 6: Final answer
    x = 1,011,591.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.