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Finding the Third Proportional to 451,483 and 619,096

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Solution

The third proportional to 451,483 and 619,096 is: 848,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,483 : 619,096 = 619,096 : x
  2. Step 2: Convert to fraction form
    451,483/619,096 = 619,096/x
  3. Step 3: Cross multiply
    451,483x = 619,096 × 619,096
  4. Step 4: Simplify right side
    451,483x = 383,279,857,216
  5. Step 5: Solve for x
    x = 383,279,857,216/451,483
  6. Step 6: Final answer
    x = 848,935.30

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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.