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Finding the Third Proportional to 696,759.75 and 981,191.25

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Solution

The third proportional to 696,759.75 and 981,191.25 is: 1,381,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,759.75 : 981,191.25 = 981,191.25 : x
  2. Step 2: Convert to fraction form
    696,759.75/981,191.25 = 981,191.25/x
  3. Step 3: Cross multiply
    696,759.75x = 981,191.25 × 981,191.25
  4. Step 4: Simplify right side
    696,759.75x = 962,736,269,076.56
  5. Step 5: Solve for x
    x = 962,736,269,076.56/696,759.75
  6. Step 6: Final answer
    x = 1,381,733.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.