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Finding the Third Proportional to 234,035 and 513,834

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Solution

The third proportional to 234,035 and 513,834 is: 1,128,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,035 : 513,834 = 513,834 : x
  2. Step 2: Convert to fraction form
    234,035/513,834 = 513,834/x
  3. Step 3: Cross multiply
    234,035x = 513,834 × 513,834
  4. Step 4: Simplify right side
    234,035x = 264,025,379,556
  5. Step 5: Solve for x
    x = 264,025,379,556/234,035
  6. Step 6: Final answer
    x = 1,128,144.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.