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Finding the Third Proportional to 193,559 and 416,781

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Solution

The third proportional to 193,559 and 416,781 is: 897,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,559 : 416,781 = 416,781 : x
  2. Step 2: Convert to fraction form
    193,559/416,781 = 416,781/x
  3. Step 3: Cross multiply
    193,559x = 416,781 × 416,781
  4. Step 4: Simplify right side
    193,559x = 173,706,401,961
  5. Step 5: Solve for x
    x = 173,706,401,961/193,559
  6. Step 6: Final answer
    x = 897,433.87

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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.