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Finding the Third Proportional to 377,592 and 820,923

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Solution

The third proportional to 377,592 and 820,923 is: 1,784,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,592 : 820,923 = 820,923 : x
  2. Step 2: Convert to fraction form
    377,592/820,923 = 820,923/x
  3. Step 3: Cross multiply
    377,592x = 820,923 × 820,923
  4. Step 4: Simplify right side
    377,592x = 673,914,571,929
  5. Step 5: Solve for x
    x = 673,914,571,929/377,592
  6. Step 6: Final answer
    x = 1,784,769.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.