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Finding the Third Proportional to 293,954 and 441,327

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Solution

The third proportional to 293,954 and 441,327 is: 662,585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,954 : 441,327 = 441,327 : x
  2. Step 2: Convert to fraction form
    293,954/441,327 = 441,327/x
  3. Step 3: Cross multiply
    293,954x = 441,327 × 441,327
  4. Step 4: Simplify right side
    293,954x = 194,769,520,929
  5. Step 5: Solve for x
    x = 194,769,520,929/293,954
  6. Step 6: Final answer
    x = 662,585.03

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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.