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Finding the Third Proportional to 376,516.50 and 827,424.38

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Solution

The third proportional to 376,516.50 and 827,424.38 is: 1,818,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,516.50 : 827,424.38 = 827,424.38 : x
  2. Step 2: Convert to fraction form
    376,516.50/827,424.38 = 827,424.38/x
  3. Step 3: Cross multiply
    376,516.50x = 827,424.38 × 827,424.38
  4. Step 4: Simplify right side
    376,516.50x = 684,631,096,344.14
  5. Step 5: Solve for x
    x = 684,631,096,344.14/376,516.50
  6. Step 6: Final answer
    x = 1,818,329.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.