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Finding the Third Proportional to 392,936.50 and 591,697.50

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Solution

The third proportional to 392,936.50 and 591,697.50 is: 890,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,936.50 : 591,697.50 = 591,697.50 : x
  2. Step 2: Convert to fraction form
    392,936.50/591,697.50 = 591,697.50/x
  3. Step 3: Cross multiply
    392,936.50x = 591,697.50 × 591,697.50
  4. Step 4: Simplify right side
    392,936.50x = 350,105,931,506.25
  5. Step 5: Solve for x
    x = 350,105,931,506.25/392,936.50
  6. Step 6: Final answer
    x = 890,998.75

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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.