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Finding the Third Proportional to 329,148 and 441,234

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Solution

The third proportional to 329,148 and 441,234 is: 591,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,148 : 441,234 = 441,234 : x
  2. Step 2: Convert to fraction form
    329,148/441,234 = 441,234/x
  3. Step 3: Cross multiply
    329,148x = 441,234 × 441,234
  4. Step 4: Simplify right side
    329,148x = 194,687,442,756
  5. Step 5: Solve for x
    x = 194,687,442,756/329,148
  6. Step 6: Final answer
    x = 591,489.06

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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.