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Finding the Third Proportional to 696,710.53 and 981,094.78

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Solution

The third proportional to 696,710.53 and 981,094.78 is: 1,381,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,710.53 : 981,094.78 = 981,094.78 : x
  2. Step 2: Convert to fraction form
    696,710.53/981,094.78 = 981,094.78/x
  3. Step 3: Cross multiply
    696,710.53x = 981,094.78 × 981,094.78
  4. Step 4: Simplify right side
    696,710.53x = 962,546,969,795.99
  5. Step 5: Solve for x
    x = 962,546,969,795.99/696,710.53
  6. Step 6: Final answer
    x = 1,381,559.38

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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.