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Finding the Third Proportional to 293,876 and 441,624

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Solution

The third proportional to 293,876 and 441,624 is: 663,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,876 : 441,624 = 441,624 : x
  2. Step 2: Convert to fraction form
    293,876/441,624 = 441,624/x
  3. Step 3: Cross multiply
    293,876x = 441,624 × 441,624
  4. Step 4: Simplify right side
    293,876x = 195,031,757,376
  5. Step 5: Solve for x
    x = 195,031,757,376/293,876
  6. Step 6: Final answer
    x = 663,653.23

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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.