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Finding the Third Proportional to 269,550,561 and 394,217,037

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Solution

The third proportional to 269,550,561 and 394,217,037 is: 576,541,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,550,561 : 394,217,037 = 394,217,037 : x
  2. Step 2: Convert to fraction form
    269,550,561/394,217,037 = 394,217,037/x
  3. Step 3: Cross multiply
    269,550,561x = 394,217,037 × 394,217,037
  4. Step 4: Simplify right side
    269,550,561x = 155,407,072,261,059,360
  5. Step 5: Solve for x
    x = 155,407,072,261,059,360/269,550,561
  6. Step 6: Final answer
    x = 576,541,453.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.