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Finding the Third Proportional to 377,048 and 820,732

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Solution

The third proportional to 377,048 and 820,732 is: 1,786,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,048 : 820,732 = 820,732 : x
  2. Step 2: Convert to fraction form
    377,048/820,732 = 820,732/x
  3. Step 3: Cross multiply
    377,048x = 820,732 × 820,732
  4. Step 4: Simplify right side
    377,048x = 673,601,015,824
  5. Step 5: Solve for x
    x = 673,601,015,824/377,048
  6. Step 6: Final answer
    x = 1,786,512.63

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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.