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Finding the Third Proportional to 389,696.34 and 837,408.94

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Solution

The third proportional to 389,696.34 and 837,408.94 is: 1,799,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,696.34 : 837,408.94 = 837,408.94 : x
  2. Step 2: Convert to fraction form
    389,696.34/837,408.94 = 837,408.94/x
  3. Step 3: Cross multiply
    389,696.34x = 837,408.94 × 837,408.94
  4. Step 4: Simplify right side
    389,696.34x = 701,253,728,604.88
  5. Step 5: Solve for x
    x = 701,253,728,604.88/389,696.34
  6. Step 6: Final answer
    x = 1,799,487.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.