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Finding the Third Proportional to 392,084.50 and 850,540.50

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Solution

The third proportional to 392,084.50 and 850,540.50 is: 1,845,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,084.50 : 850,540.50 = 850,540.50 : x
  2. Step 2: Convert to fraction form
    392,084.50/850,540.50 = 850,540.50/x
  3. Step 3: Cross multiply
    392,084.50x = 850,540.50 × 850,540.50
  4. Step 4: Simplify right side
    392,084.50x = 723,419,142,140.25
  5. Step 5: Solve for x
    x = 723,419,142,140.25/392,084.50
  6. Step 6: Final answer
    x = 1,845,059.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.