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Finding the Third Proportional to 289,866 and 627,983

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Solution

The third proportional to 289,866 and 627,983 is: 1,360,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,866 : 627,983 = 627,983 : x
  2. Step 2: Convert to fraction form
    289,866/627,983 = 627,983/x
  3. Step 3: Cross multiply
    289,866x = 627,983 × 627,983
  4. Step 4: Simplify right side
    289,866x = 394,362,648,289
  5. Step 5: Solve for x
    x = 394,362,648,289/289,866
  6. Step 6: Final answer
    x = 1,360,499.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.