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Finding the Third Proportional to 246,401 and 529,611

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Solution

The third proportional to 246,401 and 529,611 is: 1,138,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,401 : 529,611 = 529,611 : x
  2. Step 2: Convert to fraction form
    246,401/529,611 = 529,611/x
  3. Step 3: Cross multiply
    246,401x = 529,611 × 529,611
  4. Step 4: Simplify right side
    246,401x = 280,487,811,321
  5. Step 5: Solve for x
    x = 280,487,811,321/246,401
  6. Step 6: Final answer
    x = 1,138,338.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.