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Finding the Third Proportional to 399,252 and 600,498

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Solution

The third proportional to 399,252 and 600,498 is: 903,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,252 : 600,498 = 600,498 : x
  2. Step 2: Convert to fraction form
    399,252/600,498 = 600,498/x
  3. Step 3: Cross multiply
    399,252x = 600,498 × 600,498
  4. Step 4: Simplify right side
    399,252x = 360,597,848,004
  5. Step 5: Solve for x
    x = 360,597,848,004/399,252
  6. Step 6: Final answer
    x = 903,183.57

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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.