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Finding the Third Proportional to 222,208 and 524,224

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Solution

The third proportional to 222,208 and 524,224 is: 1,236,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,208 : 524,224 = 524,224 : x
  2. Step 2: Convert to fraction form
    222,208/524,224 = 524,224/x
  3. Step 3: Cross multiply
    222,208x = 524,224 × 524,224
  4. Step 4: Simplify right side
    222,208x = 274,810,802,176
  5. Step 5: Solve for x
    x = 274,810,802,176/222,208
  6. Step 6: Final answer
    x = 1,236,727.76

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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.