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Finding the Third Proportional to 392,046.75 and 850,477.50

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Solution

The third proportional to 392,046.75 and 850,477.50 is: 1,844,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,046.75 : 850,477.50 = 850,477.50 : x
  2. Step 2: Convert to fraction form
    392,046.75/850,477.50 = 850,477.50/x
  3. Step 3: Cross multiply
    392,046.75x = 850,477.50 × 850,477.50
  4. Step 4: Simplify right side
    392,046.75x = 723,311,978,006.25
  5. Step 5: Solve for x
    x = 723,311,978,006.25/392,046.75
  6. Step 6: Final answer
    x = 1,844,963.59

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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.