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Finding the Third Proportional to 293,166 and 638,793

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Solution

The third proportional to 293,166 and 638,793 is: 1,391,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,166 : 638,793 = 638,793 : x
  2. Step 2: Convert to fraction form
    293,166/638,793 = 638,793/x
  3. Step 3: Cross multiply
    293,166x = 638,793 × 638,793
  4. Step 4: Simplify right side
    293,166x = 408,056,496,849
  5. Step 5: Solve for x
    x = 408,056,496,849/293,166
  6. Step 6: Final answer
    x = 1,391,895.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.