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Finding the Third Proportional to 269,550,576 and 394,217,046

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Solution

The third proportional to 269,550,576 and 394,217,046 is: 576,541,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,550,576 : 394,217,046 = 394,217,046 : x
  2. Step 2: Convert to fraction form
    269,550,576/394,217,046 = 394,217,046/x
  3. Step 3: Cross multiply
    269,550,576x = 394,217,046 × 394,217,046
  4. Step 4: Simplify right side
    269,550,576x = 155,407,079,356,966,112
  5. Step 5: Solve for x
    x = 155,407,079,356,966,112/269,550,576
  6. Step 6: Final answer
    x = 576,541,447.85

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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.