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Finding the Third Proportional to 300,770.25 and 668,787.75

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Solution

The third proportional to 300,770.25 and 668,787.75 is: 1,487,105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,770.25 : 668,787.75 = 668,787.75 : x
  2. Step 2: Convert to fraction form
    300,770.25/668,787.75 = 668,787.75/x
  3. Step 3: Cross multiply
    300,770.25x = 668,787.75 × 668,787.75
  4. Step 4: Simplify right side
    300,770.25x = 447,277,054,550.06
  5. Step 5: Solve for x
    x = 447,277,054,550.06/300,770.25
  6. Step 6: Final answer
    x = 1,487,105.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.