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Finding the Third Proportional to 234,544 and 512,098

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Solution

The third proportional to 234,544 and 512,098 is: 1,118,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,544 : 512,098 = 512,098 : x
  2. Step 2: Convert to fraction form
    234,544/512,098 = 512,098/x
  3. Step 3: Cross multiply
    234,544x = 512,098 × 512,098
  4. Step 4: Simplify right side
    234,544x = 262,244,361,604
  5. Step 5: Solve for x
    x = 262,244,361,604/234,544
  6. Step 6: Final answer
    x = 1,118,103.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.