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Finding the Third Proportional to 217,946 and 337,611

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Solution

The third proportional to 217,946 and 337,611 is: 522,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,946 : 337,611 = 337,611 : x
  2. Step 2: Convert to fraction form
    217,946/337,611 = 337,611/x
  3. Step 3: Cross multiply
    217,946x = 337,611 × 337,611
  4. Step 4: Simplify right side
    217,946x = 113,981,187,321
  5. Step 5: Solve for x
    x = 113,981,187,321/217,946
  6. Step 6: Final answer
    x = 522,979.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.