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Finding the Third Proportional to 264,627 and 394,206.75

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Solution

The third proportional to 264,627 and 394,206.75 is: 587,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,627 : 394,206.75 = 394,206.75 : x
  2. Step 2: Convert to fraction form
    264,627/394,206.75 = 394,206.75/x
  3. Step 3: Cross multiply
    264,627x = 394,206.75 × 394,206.75
  4. Step 4: Simplify right side
    264,627x = 155,398,961,745.56
  5. Step 5: Solve for x
    x = 155,398,961,745.56/264,627
  6. Step 6: Final answer
    x = 587,237.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.