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Finding the Third Proportional to 375,224 and 820,512

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Solution

The third proportional to 375,224 and 820,512 is: 1,794,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,224 : 820,512 = 820,512 : x
  2. Step 2: Convert to fraction form
    375,224/820,512 = 820,512/x
  3. Step 3: Cross multiply
    375,224x = 820,512 × 820,512
  4. Step 4: Simplify right side
    375,224x = 673,239,942,144
  5. Step 5: Solve for x
    x = 673,239,942,144/375,224
  6. Step 6: Final answer
    x = 1,794,234.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.