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Finding the Third Proportional to 300,770.72 and 668,789.16

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Solution

The third proportional to 300,770.72 and 668,789.16 is: 1,487,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,770.72 : 668,789.16 = 668,789.16 : x
  2. Step 2: Convert to fraction form
    300,770.72/668,789.16 = 668,789.16/x
  3. Step 3: Cross multiply
    300,770.72x = 668,789.16 × 668,789.16
  4. Step 4: Simplify right side
    300,770.72x = 447,278,935,517.59
  5. Step 5: Solve for x
    x = 447,278,935,517.59/300,770.72
  6. Step 6: Final answer
    x = 1,487,109.31

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