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Finding the Third Proportional to 263,638 and 622,089

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Solution

The third proportional to 263,638 and 622,089 is: 1,467,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,638 : 622,089 = 622,089 : x
  2. Step 2: Convert to fraction form
    263,638/622,089 = 622,089/x
  3. Step 3: Cross multiply
    263,638x = 622,089 × 622,089
  4. Step 4: Simplify right side
    263,638x = 386,994,723,921
  5. Step 5: Solve for x
    x = 386,994,723,921/263,638
  6. Step 6: Final answer
    x = 1,467,901.91

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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.