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Finding the Third Proportional to 283,027.50 and 428,193

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Solution

The third proportional to 283,027.50 and 428,193 is: 647,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,027.50 : 428,193 = 428,193 : x
  2. Step 2: Convert to fraction form
    283,027.50/428,193 = 428,193/x
  3. Step 3: Cross multiply
    283,027.50x = 428,193 × 428,193
  4. Step 4: Simplify right side
    283,027.50x = 183,349,245,249
  5. Step 5: Solve for x
    x = 183,349,245,249/283,027.50
  6. Step 6: Final answer
    x = 647,814.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.