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Finding the Third Proportional to 246,310 and 529,456

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Solution

The third proportional to 246,310 and 529,456 is: 1,138,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,310 : 529,456 = 529,456 : x
  2. Step 2: Convert to fraction form
    246,310/529,456 = 529,456/x
  3. Step 3: Cross multiply
    246,310x = 529,456 × 529,456
  4. Step 4: Simplify right side
    246,310x = 280,323,655,936
  5. Step 5: Solve for x
    x = 280,323,655,936/246,310
  6. Step 6: Final answer
    x = 1,138,092.87

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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.