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Finding the Third Proportional to 293,581 and 449,849

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Solution

The third proportional to 293,581 and 449,849 is: 689,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,581 : 449,849 = 449,849 : x
  2. Step 2: Convert to fraction form
    293,581/449,849 = 449,849/x
  3. Step 3: Cross multiply
    293,581x = 449,849 × 449,849
  4. Step 4: Simplify right side
    293,581x = 202,364,122,801
  5. Step 5: Solve for x
    x = 202,364,122,801/293,581
  6. Step 6: Final answer
    x = 689,295.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.