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Finding the Third Proportional to 392,874 and 837,262.50

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Solution

The third proportional to 392,874 and 837,262.50 is: 1,784,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,874 : 837,262.50 = 837,262.50 : x
  2. Step 2: Convert to fraction form
    392,874/837,262.50 = 837,262.50/x
  3. Step 3: Cross multiply
    392,874x = 837,262.50 × 837,262.50
  4. Step 4: Simplify right side
    392,874x = 701,008,493,906.25
  5. Step 5: Solve for x
    x = 701,008,493,906.25/392,874
  6. Step 6: Final answer
    x = 1,784,308.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.