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Finding the Third Proportional to 260,739 and 627,927

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Solution

The third proportional to 260,739 and 627,927 is: 1,512,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,739 : 627,927 = 627,927 : x
  2. Step 2: Convert to fraction form
    260,739/627,927 = 627,927/x
  3. Step 3: Cross multiply
    260,739x = 627,927 × 627,927
  4. Step 4: Simplify right side
    260,739x = 394,292,317,329
  5. Step 5: Solve for x
    x = 394,292,317,329/260,739
  6. Step 6: Final answer
    x = 1,512,210.74

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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.