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Finding the Third Proportional to 330,614.16 and 494,639.79

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Solution

The third proportional to 330,614.16 and 494,639.79 is: 740,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,614.16 : 494,639.79 = 494,639.79 : x
  2. Step 2: Convert to fraction form
    330,614.16/494,639.79 = 494,639.79/x
  3. Step 3: Cross multiply
    330,614.16x = 494,639.79 × 494,639.79
  4. Step 4: Simplify right side
    330,614.16x = 244,668,520,923.78
  5. Step 5: Solve for x
    x = 244,668,520,923.78/330,614.16
  6. Step 6: Final answer
    x = 740,042.48

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