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Finding the Third Proportional to 263,619 and 622,044

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Solution

The third proportional to 263,619 and 622,044 is: 1,467,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,619 : 622,044 = 622,044 : x
  2. Step 2: Convert to fraction form
    263,619/622,044 = 622,044/x
  3. Step 3: Cross multiply
    263,619x = 622,044 × 622,044
  4. Step 4: Simplify right side
    263,619x = 386,938,737,936
  5. Step 5: Solve for x
    x = 386,938,737,936/263,619
  6. Step 6: Final answer
    x = 1,467,795.33

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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.