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Finding the Third Proportional to 379,631,524.50 and 591,642,600.75

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Solution

The third proportional to 379,631,524.50 and 591,642,600.75 is: 922,054,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,631,524.50 : 591,642,600.75 = 591,642,600.75 : x
  2. Step 2: Convert to fraction form
    379,631,524.50/591,642,600.75 = 591,642,600.75/x
  3. Step 3: Cross multiply
    379,631,524.50x = 591,642,600.75 × 591,642,600.75
  4. Step 4: Simplify right side
    379,631,524.50x = 350,040,967,022,223,872
  5. Step 5: Solve for x
    x = 350,040,967,022,223,872/379,631,524.50
  6. Step 6: Final answer
    x = 922,054,530.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.