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Finding the Third Proportional to 293,577 and 449,843

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Solution

The third proportional to 293,577 and 449,843 is: 689,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,577 : 449,843 = 449,843 : x
  2. Step 2: Convert to fraction form
    293,577/449,843 = 449,843/x
  3. Step 3: Cross multiply
    293,577x = 449,843 × 449,843
  4. Step 4: Simplify right side
    293,577x = 202,358,724,649
  5. Step 5: Solve for x
    x = 202,358,724,649/293,577
  6. Step 6: Final answer
    x = 689,286.71

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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.