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Finding the Third Proportional to 222,462 and 524,916

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Solution

The third proportional to 222,462 and 524,916 is: 1,238,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,462 : 524,916 = 524,916 : x
  2. Step 2: Convert to fraction form
    222,462/524,916 = 524,916/x
  3. Step 3: Cross multiply
    222,462x = 524,916 × 524,916
  4. Step 4: Simplify right side
    222,462x = 275,536,807,056
  5. Step 5: Solve for x
    x = 275,536,807,056/222,462
  6. Step 6: Final answer
    x = 1,238,579.20

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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.