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Finding the Third Proportional to 330,736.50 and 494,811

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Solution

The third proportional to 330,736.50 and 494,811 is: 740,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,736.50 : 494,811 = 494,811 : x
  2. Step 2: Convert to fraction form
    330,736.50/494,811 = 494,811/x
  3. Step 3: Cross multiply
    330,736.50x = 494,811 × 494,811
  4. Step 4: Simplify right side
    330,736.50x = 244,837,925,721
  5. Step 5: Solve for x
    x = 244,837,925,721/330,736.50
  6. Step 6: Final answer
    x = 740,280.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.