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Finding the Third Proportional to 222,593.25 and 524,924.63

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Solution

The third proportional to 222,593.25 and 524,924.63 is: 1,237,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,593.25 : 524,924.63 = 524,924.63 : x
  2. Step 2: Convert to fraction form
    222,593.25/524,924.63 = 524,924.63/x
  3. Step 3: Cross multiply
    222,593.25x = 524,924.63 × 524,924.63
  4. Step 4: Simplify right side
    222,593.25x = 275,545,861,931.39
  5. Step 5: Solve for x
    x = 275,545,861,931.39/222,593.25
  6. Step 6: Final answer
    x = 1,237,889.57

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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.