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Finding the Third Proportional to 260,766 and 627,984

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Solution

The third proportional to 260,766 and 627,984 is: 1,512,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,766 : 627,984 = 627,984 : x
  2. Step 2: Convert to fraction form
    260,766/627,984 = 627,984/x
  3. Step 3: Cross multiply
    260,766x = 627,984 × 627,984
  4. Step 4: Simplify right side
    260,766x = 394,363,904,256
  5. Step 5: Solve for x
    x = 394,363,904,256/260,766
  6. Step 6: Final answer
    x = 1,512,328.69

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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.