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Finding the Third Proportional to 260,744 and 627,936

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Solution

The third proportional to 260,744 and 627,936 is: 1,512,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,744 : 627,936 = 627,936 : x
  2. Step 2: Convert to fraction form
    260,744/627,936 = 627,936/x
  3. Step 3: Cross multiply
    260,744x = 627,936 × 627,936
  4. Step 4: Simplify right side
    260,744x = 394,303,620,096
  5. Step 5: Solve for x
    x = 394,303,620,096/260,744
  6. Step 6: Final answer
    x = 1,512,225.09

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.