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Finding the Third Proportional to 322,887 and 443,236.50

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Solution

The third proportional to 322,887 and 443,236.50 is: 608,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,887 : 443,236.50 = 443,236.50 : x
  2. Step 2: Convert to fraction form
    322,887/443,236.50 = 443,236.50/x
  3. Step 3: Cross multiply
    322,887x = 443,236.50 × 443,236.50
  4. Step 4: Simplify right side
    322,887x = 196,458,594,932.25
  5. Step 5: Solve for x
    x = 196,458,594,932.25/322,887
  6. Step 6: Final answer
    x = 608,443.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.