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Finding the Third Proportional to 627,616 and 960,272

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Solution

The third proportional to 627,616 and 960,272 is: 1,469,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,616 : 960,272 = 960,272 : x
  2. Step 2: Convert to fraction form
    627,616/960,272 = 960,272/x
  3. Step 3: Cross multiply
    627,616x = 960,272 × 960,272
  4. Step 4: Simplify right side
    627,616x = 922,122,313,984
  5. Step 5: Solve for x
    x = 922,122,313,984/627,616
  6. Step 6: Final answer
    x = 1,469,246.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.