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Finding the Third Proportional to 329,151 and 441,238

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Solution

The third proportional to 329,151 and 441,238 is: 591,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,151 : 441,238 = 441,238 : x
  2. Step 2: Convert to fraction form
    329,151/441,238 = 441,238/x
  3. Step 3: Cross multiply
    329,151x = 441,238 × 441,238
  4. Step 4: Simplify right side
    329,151x = 194,690,972,644
  5. Step 5: Solve for x
    x = 194,690,972,644/329,151
  6. Step 6: Final answer
    x = 591,494.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.