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Finding the Third Proportional to 330,994 and 496,383

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Solution

The third proportional to 330,994 and 496,383 is: 744,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,994 : 496,383 = 496,383 : x
  2. Step 2: Convert to fraction form
    330,994/496,383 = 496,383/x
  3. Step 3: Cross multiply
    330,994x = 496,383 × 496,383
  4. Step 4: Simplify right side
    330,994x = 246,396,082,689
  5. Step 5: Solve for x
    x = 246,396,082,689/330,994
  6. Step 6: Final answer
    x = 744,412.54

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Why These Related Problems?

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