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Finding the Third Proportional to 311,928 and 444,564

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Solution

The third proportional to 311,928 and 444,564 is: 633,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,928 : 444,564 = 444,564 : x
  2. Step 2: Convert to fraction form
    311,928/444,564 = 444,564/x
  3. Step 3: Cross multiply
    311,928x = 444,564 × 444,564
  4. Step 4: Simplify right side
    311,928x = 197,637,150,096
  5. Step 5: Solve for x
    x = 197,637,150,096/311,928
  6. Step 6: Final answer
    x = 633,598.62

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.