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Finding the Third Proportional to 377,398 and 550,542

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Solution

The third proportional to 377,398 and 550,542 is: 803,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,398 : 550,542 = 550,542 : x
  2. Step 2: Convert to fraction form
    377,398/550,542 = 550,542/x
  3. Step 3: Cross multiply
    377,398x = 550,542 × 550,542
  4. Step 4: Simplify right side
    377,398x = 303,096,493,764
  5. Step 5: Solve for x
    x = 303,096,493,764/377,398
  6. Step 6: Final answer
    x = 803,121.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.