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Finding the Third Proportional to 234,229 and 520,864

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Solution

The third proportional to 234,229 and 520,864 is: 1,158,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,229 : 520,864 = 520,864 : x
  2. Step 2: Convert to fraction form
    234,229/520,864 = 520,864/x
  3. Step 3: Cross multiply
    234,229x = 520,864 × 520,864
  4. Step 4: Simplify right side
    234,229x = 271,299,306,496
  5. Step 5: Solve for x
    x = 271,299,306,496/234,229
  6. Step 6: Final answer
    x = 1,158,265.23

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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.