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Finding the Third Proportional to 222,432 and 524,857

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Solution

The third proportional to 222,432 and 524,857 is: 1,238,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,432 : 524,857 = 524,857 : x
  2. Step 2: Convert to fraction form
    222,432/524,857 = 524,857/x
  3. Step 3: Cross multiply
    222,432x = 524,857 × 524,857
  4. Step 4: Simplify right side
    222,432x = 275,474,870,449
  5. Step 5: Solve for x
    x = 275,474,870,449/222,432
  6. Step 6: Final answer
    x = 1,238,467.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.