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Finding the Third Proportional to 271,608 and 422,946

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Solution

The third proportional to 271,608 and 422,946 is: 658,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,608 : 422,946 = 422,946 : x
  2. Step 2: Convert to fraction form
    271,608/422,946 = 422,946/x
  3. Step 3: Cross multiply
    271,608x = 422,946 × 422,946
  4. Step 4: Simplify right side
    271,608x = 178,883,318,916
  5. Step 5: Solve for x
    x = 178,883,318,916/271,608
  6. Step 6: Final answer
    x = 658,608.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.