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Finding the Third Proportional to 210,786.75 and 443,601

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Solution

The third proportional to 210,786.75 and 443,601 is: 933,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,786.75 : 443,601 = 443,601 : x
  2. Step 2: Convert to fraction form
    210,786.75/443,601 = 443,601/x
  3. Step 3: Cross multiply
    210,786.75x = 443,601 × 443,601
  4. Step 4: Simplify right side
    210,786.75x = 196,781,847,201
  5. Step 5: Solve for x
    x = 196,781,847,201/210,786.75
  6. Step 6: Final answer
    x = 933,558.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.