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Finding the Third Proportional to 290,976 and 627,856

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Solution

The third proportional to 290,976 and 627,856 is: 1,354,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,976 : 627,856 = 627,856 : x
  2. Step 2: Convert to fraction form
    290,976/627,856 = 627,856/x
  3. Step 3: Cross multiply
    290,976x = 627,856 × 627,856
  4. Step 4: Simplify right side
    290,976x = 394,203,156,736
  5. Step 5: Solve for x
    x = 394,203,156,736/290,976
  6. Step 6: Final answer
    x = 1,354,761.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.