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Finding the Third Proportional to 298,245 and 451,711.31

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Solution

The third proportional to 298,245 and 451,711.31 is: 684,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,245 : 451,711.31 = 451,711.31 : x
  2. Step 2: Convert to fraction form
    298,245/451,711.31 = 451,711.31/x
  3. Step 3: Cross multiply
    298,245x = 451,711.31 × 451,711.31
  4. Step 4: Simplify right side
    298,245x = 204,043,109,840.47
  5. Step 5: Solve for x
    x = 204,043,109,840.47/298,245
  6. Step 6: Final answer
    x = 684,145.95

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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.