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Finding the Third Proportional to 222,428.53 and 524,849.63

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Solution

The third proportional to 222,428.53 and 524,849.63 is: 1,238,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,428.53 : 524,849.63 = 524,849.63 : x
  2. Step 2: Convert to fraction form
    222,428.53/524,849.63 = 524,849.63/x
  3. Step 3: Cross multiply
    222,428.53x = 524,849.63 × 524,849.63
  4. Step 4: Simplify right side
    222,428.53x = 275,467,128,862.64
  5. Step 5: Solve for x
    x = 275,467,128,862.64/222,428.53
  6. Step 6: Final answer
    x = 1,238,452.31

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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.