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Finding the Third Proportional to 222,459 and 524,911

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Solution

The third proportional to 222,459 and 524,911 is: 1,238,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,459 : 524,911 = 524,911 : x
  2. Step 2: Convert to fraction form
    222,459/524,911 = 524,911/x
  3. Step 3: Cross multiply
    222,459x = 524,911 × 524,911
  4. Step 4: Simplify right side
    222,459x = 275,531,557,921
  5. Step 5: Solve for x
    x = 275,531,557,921/222,459
  6. Step 6: Final answer
    x = 1,238,572.31

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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.