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Finding the Third Proportional to 381,981.38 and 809,496.56

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Solution

The third proportional to 381,981.38 and 809,496.56 is: 1,715,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,981.38 : 809,496.56 = 809,496.56 : x
  2. Step 2: Convert to fraction form
    381,981.38/809,496.56 = 809,496.56/x
  3. Step 3: Cross multiply
    381,981.38x = 809,496.56 × 809,496.56
  4. Step 4: Simplify right side
    381,981.38x = 655,284,684,699.32
  5. Step 5: Solve for x
    x = 655,284,684,699.32/381,981.38
  6. Step 6: Final answer
    x = 1,715,488.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.