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Finding the Third Proportional to 290,979 and 627,831

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Solution

The third proportional to 290,979 and 627,831 is: 1,354,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,979 : 627,831 = 627,831 : x
  2. Step 2: Convert to fraction form
    290,979/627,831 = 627,831/x
  3. Step 3: Cross multiply
    290,979x = 627,831 × 627,831
  4. Step 4: Simplify right side
    290,979x = 394,171,764,561
  5. Step 5: Solve for x
    x = 394,171,764,561/290,979
  6. Step 6: Final answer
    x = 1,354,639.90

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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.