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Finding the Third Proportional to 329,153 and 441,241

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Solution

The third proportional to 329,153 and 441,241 is: 591,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,153 : 441,241 = 441,241 : x
  2. Step 2: Convert to fraction form
    329,153/441,241 = 441,241/x
  3. Step 3: Cross multiply
    329,153x = 441,241 × 441,241
  4. Step 4: Simplify right side
    329,153x = 194,693,620,081
  5. Step 5: Solve for x
    x = 194,693,620,081/329,153
  6. Step 6: Final answer
    x = 591,498.85

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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.