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Finding the Third Proportional to 203,786.75 and 479,501.63

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Solution

The third proportional to 203,786.75 and 479,501.63 is: 1,128,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,786.75 : 479,501.63 = 479,501.63 : x
  2. Step 2: Convert to fraction form
    203,786.75/479,501.63 = 479,501.63/x
  3. Step 3: Cross multiply
    203,786.75x = 479,501.63 × 479,501.63
  4. Step 4: Simplify right side
    203,786.75x = 229,921,808,377.64
  5. Step 5: Solve for x
    x = 229,921,808,377.64/203,786.75
  6. Step 6: Final answer
    x = 1,128,247.09

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.