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Finding the Third Proportional to 193,624 and 416,916

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Solution

The third proportional to 193,624 and 416,916 is: 897,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,624 : 416,916 = 416,916 : x
  2. Step 2: Convert to fraction form
    193,624/416,916 = 416,916/x
  3. Step 3: Cross multiply
    193,624x = 416,916 × 416,916
  4. Step 4: Simplify right side
    193,624x = 173,818,951,056
  5. Step 5: Solve for x
    x = 173,818,951,056/193,624
  6. Step 6: Final answer
    x = 897,713.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.