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Finding the Third Proportional to 263,857 and 622,247

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Solution

The third proportional to 263,857 and 622,247 is: 1,467,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,857 : 622,247 = 622,247 : x
  2. Step 2: Convert to fraction form
    263,857/622,247 = 622,247/x
  3. Step 3: Cross multiply
    263,857x = 622,247 × 622,247
  4. Step 4: Simplify right side
    263,857x = 387,191,329,009
  5. Step 5: Solve for x
    x = 387,191,329,009/263,857
  6. Step 6: Final answer
    x = 1,467,428.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.