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Finding the Third Proportional to 627,620 and 960,278

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Solution

The third proportional to 627,620 and 960,278 is: 1,469,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,620 : 960,278 = 960,278 : x
  2. Step 2: Convert to fraction form
    627,620/960,278 = 960,278/x
  3. Step 3: Cross multiply
    627,620x = 960,278 × 960,278
  4. Step 4: Simplify right side
    627,620x = 922,133,837,284
  5. Step 5: Solve for x
    x = 922,133,837,284/627,620
  6. Step 6: Final answer
    x = 1,469,255.02

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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.