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Finding the Third Proportional to 244,456 and 529,611

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Solution

The third proportional to 244,456 and 529,611 is: 1,147,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,456 : 529,611 = 529,611 : x
  2. Step 2: Convert to fraction form
    244,456/529,611 = 529,611/x
  3. Step 3: Cross multiply
    244,456x = 529,611 × 529,611
  4. Step 4: Simplify right side
    244,456x = 280,487,811,321
  5. Step 5: Solve for x
    x = 280,487,811,321/244,456
  6. Step 6: Final answer
    x = 1,147,395.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.