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Finding the Third Proportional to 234,976 and 503,188

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Solution

The third proportional to 234,976 and 503,188 is: 1,077,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,976 : 503,188 = 503,188 : x
  2. Step 2: Convert to fraction form
    234,976/503,188 = 503,188/x
  3. Step 3: Cross multiply
    234,976x = 503,188 × 503,188
  4. Step 4: Simplify right side
    234,976x = 253,198,163,344
  5. Step 5: Solve for x
    x = 253,198,163,344/234,976
  6. Step 6: Final answer
    x = 1,077,549.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.