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Finding the Third Proportional to 696,782.25 and 981,213.75

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Solution

The third proportional to 696,782.25 and 981,213.75 is: 1,381,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,782.25 : 981,213.75 = 981,213.75 : x
  2. Step 2: Convert to fraction form
    696,782.25/981,213.75 = 981,213.75/x
  3. Step 3: Cross multiply
    696,782.25x = 981,213.75 × 981,213.75
  4. Step 4: Simplify right side
    696,782.25x = 962,780,423,189.06
  5. Step 5: Solve for x
    x = 962,780,423,189.06/696,782.25
  6. Step 6: Final answer
    x = 1,381,752.22

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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.