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Finding the Third Proportional to 222,433 and 524,859

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Solution

The third proportional to 222,433 and 524,859 is: 1,238,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,433 : 524,859 = 524,859 : x
  2. Step 2: Convert to fraction form
    222,433/524,859 = 524,859/x
  3. Step 3: Cross multiply
    222,433x = 524,859 × 524,859
  4. Step 4: Simplify right side
    222,433x = 275,476,969,881
  5. Step 5: Solve for x
    x = 275,476,969,881/222,433
  6. Step 6: Final answer
    x = 1,238,471.67

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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.