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Finding the Third Proportional to 379,099.50 and 827,666.63

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Solution

The third proportional to 379,099.50 and 827,666.63 is: 1,806,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,099.50 : 827,666.63 = 827,666.63 : x
  2. Step 2: Convert to fraction form
    379,099.50/827,666.63 = 827,666.63/x
  3. Step 3: Cross multiply
    379,099.50x = 827,666.63 × 827,666.63
  4. Step 4: Simplify right side
    379,099.50x = 685,032,042,138.89
  5. Step 5: Solve for x
    x = 685,032,042,138.89/379,099.50
  6. Step 6: Final answer
    x = 1,806,998.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.