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Finding the Third Proportional to 262,671.50 and 394,006.50

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Solution

The third proportional to 262,671.50 and 394,006.50 is: 591,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,671.50 : 394,006.50 = 394,006.50 : x
  2. Step 2: Convert to fraction form
    262,671.50/394,006.50 = 394,006.50/x
  3. Step 3: Cross multiply
    262,671.50x = 394,006.50 × 394,006.50
  4. Step 4: Simplify right side
    262,671.50x = 155,241,122,042.25
  5. Step 5: Solve for x
    x = 155,241,122,042.25/262,671.50
  6. Step 6: Final answer
    x = 591,008.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.