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Finding the Third Proportional to 389,531 and 582,735

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Solution

The third proportional to 389,531 and 582,735 is: 871,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,531 : 582,735 = 582,735 : x
  2. Step 2: Convert to fraction form
    389,531/582,735 = 582,735/x
  3. Step 3: Cross multiply
    389,531x = 582,735 × 582,735
  4. Step 4: Simplify right side
    389,531x = 339,580,080,225
  5. Step 5: Solve for x
    x = 339,580,080,225/389,531
  6. Step 6: Final answer
    x = 871,766.51

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