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Finding the Third Proportional to 274,983.50 and 396,711

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Solution

The third proportional to 274,983.50 and 396,711 is: 572,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,983.50 : 396,711 = 396,711 : x
  2. Step 2: Convert to fraction form
    274,983.50/396,711 = 396,711/x
  3. Step 3: Cross multiply
    274,983.50x = 396,711 × 396,711
  4. Step 4: Simplify right side
    274,983.50x = 157,379,617,521
  5. Step 5: Solve for x
    x = 157,379,617,521/274,983.50
  6. Step 6: Final answer
    x = 572,323.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.