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Finding the Third Proportional to 219,027.38 and 475,233.75

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Solution

The third proportional to 219,027.38 and 475,233.75 is: 1,031,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,027.38 : 475,233.75 = 475,233.75 : x
  2. Step 2: Convert to fraction form
    219,027.38/475,233.75 = 475,233.75/x
  3. Step 3: Cross multiply
    219,027.38x = 475,233.75 × 475,233.75
  4. Step 4: Simplify right side
    219,027.38x = 225,847,117,139.06
  5. Step 5: Solve for x
    x = 225,847,117,139.06/219,027.38
  6. Step 6: Final answer
    x = 1,031,136.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.