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Finding the Third Proportional to 441,948 and 662,193

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Solution

The third proportional to 441,948 and 662,193 is: 992,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,948 : 662,193 = 662,193 : x
  2. Step 2: Convert to fraction form
    441,948/662,193 = 662,193/x
  3. Step 3: Cross multiply
    441,948x = 662,193 × 662,193
  4. Step 4: Simplify right side
    441,948x = 438,499,569,249
  5. Step 5: Solve for x
    x = 438,499,569,249/441,948
  6. Step 6: Final answer
    x = 992,197.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.