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Finding the Third Proportional to 329,769 and 494,654

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Solution

The third proportional to 329,769 and 494,654 is: 741,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,769 : 494,654 = 494,654 : x
  2. Step 2: Convert to fraction form
    329,769/494,654 = 494,654/x
  3. Step 3: Cross multiply
    329,769x = 494,654 × 494,654
  4. Step 4: Simplify right side
    329,769x = 244,682,579,716
  5. Step 5: Solve for x
    x = 244,682,579,716/329,769
  6. Step 6: Final answer
    x = 741,981.75

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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.