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Finding the Third Proportional to 696,877.50 and 981,389.25

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Solution

The third proportional to 696,877.50 and 981,389.25 is: 1,382,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,877.50 : 981,389.25 = 981,389.25 : x
  2. Step 2: Convert to fraction form
    696,877.50/981,389.25 = 981,389.25/x
  3. Step 3: Cross multiply
    696,877.50x = 981,389.25 × 981,389.25
  4. Step 4: Simplify right side
    696,877.50x = 963,124,860,015.56
  5. Step 5: Solve for x
    x = 963,124,860,015.56/696,877.50
  6. Step 6: Final answer
    x = 1,382,057.62

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