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Finding the Third Proportional to 627,195 and 942,204

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Solution

The third proportional to 627,195 and 942,204 is: 1,415,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,195 : 942,204 = 942,204 : x
  2. Step 2: Convert to fraction form
    627,195/942,204 = 942,204/x
  3. Step 3: Cross multiply
    627,195x = 942,204 × 942,204
  4. Step 4: Simplify right side
    627,195x = 887,748,377,616
  5. Step 5: Solve for x
    x = 887,748,377,616/627,195
  6. Step 6: Final answer
    x = 1,415,426.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.