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Finding the Third Proportional to 222,429.50 and 524,852

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Solution

The third proportional to 222,429.50 and 524,852 is: 1,238,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,429.50 : 524,852 = 524,852 : x
  2. Step 2: Convert to fraction form
    222,429.50/524,852 = 524,852/x
  3. Step 3: Cross multiply
    222,429.50x = 524,852 × 524,852
  4. Step 4: Simplify right side
    222,429.50x = 275,469,621,904
  5. Step 5: Solve for x
    x = 275,469,621,904/222,429.50
  6. Step 6: Final answer
    x = 1,238,458.13

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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.