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Finding the Third Proportional to 371,515.50 and 814,227

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Solution

The third proportional to 371,515.50 and 814,227 is: 1,784,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,515.50 : 814,227 = 814,227 : x
  2. Step 2: Convert to fraction form
    371,515.50/814,227 = 814,227/x
  3. Step 3: Cross multiply
    371,515.50x = 814,227 × 814,227
  4. Step 4: Simplify right side
    371,515.50x = 662,965,607,529
  5. Step 5: Solve for x
    x = 662,965,607,529/371,515.50
  6. Step 6: Final answer
    x = 1,784,489.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.