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Finding the Third Proportional to 338,903,019 and 523,691,586

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Solution

The third proportional to 338,903,019 and 523,691,586 is: 809,237,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,903,019 : 523,691,586 = 523,691,586 : x
  2. Step 2: Convert to fraction form
    338,903,019/523,691,586 = 523,691,586/x
  3. Step 3: Cross multiply
    338,903,019x = 523,691,586 × 523,691,586
  4. Step 4: Simplify right side
    338,903,019x = 274,252,877,247,195,392
  5. Step 5: Solve for x
    x = 274,252,877,247,195,392/338,903,019
  6. Step 6: Final answer
    x = 809,237,043.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.