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Finding the Third Proportional to 392,971.50 and 591,745.50

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Solution

The third proportional to 392,971.50 and 591,745.50 is: 891,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,971.50 : 591,745.50 = 591,745.50 : x
  2. Step 2: Convert to fraction form
    392,971.50/591,745.50 = 591,745.50/x
  3. Step 3: Cross multiply
    392,971.50x = 591,745.50 × 591,745.50
  4. Step 4: Simplify right side
    392,971.50x = 350,162,736,770.25
  5. Step 5: Solve for x
    x = 350,162,736,770.25/392,971.50
  6. Step 6: Final answer
    x = 891,063.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.