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Finding the Third Proportional to 379,204.50 and 819,225

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Solution

The third proportional to 379,204.50 and 819,225 is: 1,769,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,204.50 : 819,225 = 819,225 : x
  2. Step 2: Convert to fraction form
    379,204.50/819,225 = 819,225/x
  3. Step 3: Cross multiply
    379,204.50x = 819,225 × 819,225
  4. Step 4: Simplify right side
    379,204.50x = 671,129,600,625
  5. Step 5: Solve for x
    x = 671,129,600,625/379,204.50
  6. Step 6: Final answer
    x = 1,769,835.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.