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Finding the Third Proportional to 384,649 and 998,529

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Solution

The third proportional to 384,649 and 998,529 is: 2,592,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,649 : 998,529 = 998,529 : x
  2. Step 2: Convert to fraction form
    384,649/998,529 = 998,529/x
  3. Step 3: Cross multiply
    384,649x = 998,529 × 998,529
  4. Step 4: Simplify right side
    384,649x = 997,060,163,841
  5. Step 5: Solve for x
    x = 997,060,163,841/384,649
  6. Step 6: Final answer
    x = 2,592,129.87

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.