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Finding the Third Proportional to 213,277 and 493,744

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Solution

The third proportional to 213,277 and 493,744 is: 1,143,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,277 : 493,744 = 493,744 : x
  2. Step 2: Convert to fraction form
    213,277/493,744 = 493,744/x
  3. Step 3: Cross multiply
    213,277x = 493,744 × 493,744
  4. Step 4: Simplify right side
    213,277x = 243,783,137,536
  5. Step 5: Solve for x
    x = 243,783,137,536/213,277
  6. Step 6: Final answer
    x = 1,143,035.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.