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Finding the Third Proportional to 330,776.16 and 494,861.91

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Solution

The third proportional to 330,776.16 and 494,861.91 is: 740,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,776.16 : 494,861.91 = 494,861.91 : x
  2. Step 2: Convert to fraction form
    330,776.16/494,861.91 = 494,861.91/x
  3. Step 3: Cross multiply
    330,776.16x = 494,861.91 × 494,861.91
  4. Step 4: Simplify right side
    330,776.16x = 244,888,306,257.38
  5. Step 5: Solve for x
    x = 244,888,306,257.38/330,776.16
  6. Step 6: Final answer
    x = 740,344.49

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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.