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Finding the Third Proportional to 541,589 and 757,136.50

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Solution

The third proportional to 541,589 and 757,136.50 is: 1,058,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,589 : 757,136.50 = 757,136.50 : x
  2. Step 2: Convert to fraction form
    541,589/757,136.50 = 757,136.50/x
  3. Step 3: Cross multiply
    541,589x = 757,136.50 × 757,136.50
  4. Step 4: Simplify right side
    541,589x = 573,255,679,632.25
  5. Step 5: Solve for x
    x = 573,255,679,632.25/541,589
  6. Step 6: Final answer
    x = 1,058,469.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.