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Finding the Third Proportional to 399,613.50 and 856,227

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Solution

The third proportional to 399,613.50 and 856,227 is: 1,834,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,613.50 : 856,227 = 856,227 : x
  2. Step 2: Convert to fraction form
    399,613.50/856,227 = 856,227/x
  3. Step 3: Cross multiply
    399,613.50x = 856,227 × 856,227
  4. Step 4: Simplify right side
    399,613.50x = 733,124,675,529
  5. Step 5: Solve for x
    x = 733,124,675,529/399,613.50
  6. Step 6: Final answer
    x = 1,834,584.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.