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Finding the Third Proportional to 250,544,676 and 383,305,302

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Solution

The third proportional to 250,544,676 and 383,305,302 is: 586,414,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,544,676 : 383,305,302 = 383,305,302 : x
  2. Step 2: Convert to fraction form
    250,544,676/383,305,302 = 383,305,302/x
  3. Step 3: Cross multiply
    250,544,676x = 383,305,302 × 383,305,302
  4. Step 4: Simplify right side
    250,544,676x = 146,922,954,541,311,200
  5. Step 5: Solve for x
    x = 146,922,954,541,311,200/250,544,676
  6. Step 6: Final answer
    x = 586,414,195.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.