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Finding the Third Proportional to 665,568.14 and 951,770.25

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Solution

The third proportional to 665,568.14 and 951,770.25 is: 1,361,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,568.14 : 951,770.25 = 951,770.25 : x
  2. Step 2: Convert to fraction form
    665,568.14/951,770.25 = 951,770.25/x
  3. Step 3: Cross multiply
    665,568.14x = 951,770.25 × 951,770.25
  4. Step 4: Simplify right side
    665,568.14x = 905,866,608,785.06
  5. Step 5: Solve for x
    x = 905,866,608,785.06/665,568.14
  6. Step 6: Final answer
    x = 1,361,042.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.