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Finding the Third Proportional to 290,616 and 627,105

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Solution

The third proportional to 290,616 and 627,105 is: 1,353,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,616 : 627,105 = 627,105 : x
  2. Step 2: Convert to fraction form
    290,616/627,105 = 627,105/x
  3. Step 3: Cross multiply
    290,616x = 627,105 × 627,105
  4. Step 4: Simplify right side
    290,616x = 393,260,681,025
  5. Step 5: Solve for x
    x = 393,260,681,025/290,616
  6. Step 6: Final answer
    x = 1,353,196.94

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Why These Related Problems?

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