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Finding the Third Proportional to 301,467 and 627,741

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Solution

The third proportional to 301,467 and 627,741 is: 1,307,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,467 : 627,741 = 627,741 : x
  2. Step 2: Convert to fraction form
    301,467/627,741 = 627,741/x
  3. Step 3: Cross multiply
    301,467x = 627,741 × 627,741
  4. Step 4: Simplify right side
    301,467x = 394,058,763,081
  5. Step 5: Solve for x
    x = 394,058,763,081/301,467
  6. Step 6: Final answer
    x = 1,307,137.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.