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Finding the Third Proportional to 234,224 and 520,850

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Solution

The third proportional to 234,224 and 520,850 is: 1,158,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,224 : 520,850 = 520,850 : x
  2. Step 2: Convert to fraction form
    234,224/520,850 = 520,850/x
  3. Step 3: Cross multiply
    234,224x = 520,850 × 520,850
  4. Step 4: Simplify right side
    234,224x = 271,284,722,500
  5. Step 5: Solve for x
    x = 271,284,722,500/234,224
  6. Step 6: Final answer
    x = 1,158,227.69

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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.