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Finding the Third Proportional to 377,824.50 and 814,122.56

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Solution

The third proportional to 377,824.50 and 814,122.56 is: 1,754,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,824.50 : 814,122.56 = 814,122.56 : x
  2. Step 2: Convert to fraction form
    377,824.50/814,122.56 = 814,122.56/x
  3. Step 3: Cross multiply
    377,824.50x = 814,122.56 × 814,122.56
  4. Step 4: Simplify right side
    377,824.50x = 662,795,546,771.57
  5. Step 5: Solve for x
    x = 662,795,546,771.57/377,824.50
  6. Step 6: Final answer
    x = 1,754,241.84

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Why These Related Problems?

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