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Finding the Third Proportional to 234,225 and 520,856

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Solution

The third proportional to 234,225 and 520,856 is: 1,158,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,225 : 520,856 = 520,856 : x
  2. Step 2: Convert to fraction form
    234,225/520,856 = 520,856/x
  3. Step 3: Cross multiply
    234,225x = 520,856 × 520,856
  4. Step 4: Simplify right side
    234,225x = 271,290,972,736
  5. Step 5: Solve for x
    x = 271,290,972,736/234,225
  6. Step 6: Final answer
    x = 1,158,249.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.