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Finding the Third Proportional to 329,066 and 496,027

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Solution

The third proportional to 329,066 and 496,027 is: 747,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,066 : 496,027 = 496,027 : x
  2. Step 2: Convert to fraction form
    329,066/496,027 = 496,027/x
  3. Step 3: Cross multiply
    329,066x = 496,027 × 496,027
  4. Step 4: Simplify right side
    329,066x = 246,042,784,729
  5. Step 5: Solve for x
    x = 246,042,784,729/329,066
  6. Step 6: Final answer
    x = 747,700.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.