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Finding the Third Proportional to 246,314 and 529,463

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Solution

The third proportional to 246,314 and 529,463 is: 1,138,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,314 : 529,463 = 529,463 : x
  2. Step 2: Convert to fraction form
    246,314/529,463 = 529,463/x
  3. Step 3: Cross multiply
    246,314x = 529,463 × 529,463
  4. Step 4: Simplify right side
    246,314x = 280,331,068,369
  5. Step 5: Solve for x
    x = 280,331,068,369/246,314
  6. Step 6: Final answer
    x = 1,138,104.49

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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.