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Finding the Third Proportional to 377,082.84 and 820,504.69

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Solution

The third proportional to 377,082.84 and 820,504.69 is: 1,785,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,082.84 : 820,504.69 = 820,504.69 : x
  2. Step 2: Convert to fraction form
    377,082.84/820,504.69 = 820,504.69/x
  3. Step 3: Cross multiply
    377,082.84x = 820,504.69 × 820,504.69
  4. Step 4: Simplify right side
    377,082.84x = 673,227,942,209.47
  5. Step 5: Solve for x
    x = 673,227,942,209.47/377,082.84
  6. Step 6: Final answer
    x = 1,785,358.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.