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Finding the Third Proportional to 234,021 and 504,516

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Solution

The third proportional to 234,021 and 504,516 is: 1,087,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,021 : 504,516 = 504,516 : x
  2. Step 2: Convert to fraction form
    234,021/504,516 = 504,516/x
  3. Step 3: Cross multiply
    234,021x = 504,516 × 504,516
  4. Step 4: Simplify right side
    234,021x = 254,536,394,256
  5. Step 5: Solve for x
    x = 254,536,394,256/234,021
  6. Step 6: Final answer
    x = 1,087,664.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.