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Finding the Third Proportional to 246,400 and 529,609

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Solution

The third proportional to 246,400 and 529,609 is: 1,138,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,400 : 529,609 = 529,609 : x
  2. Step 2: Convert to fraction form
    246,400/529,609 = 529,609/x
  3. Step 3: Cross multiply
    246,400x = 529,609 × 529,609
  4. Step 4: Simplify right side
    246,400x = 280,485,692,881
  5. Step 5: Solve for x
    x = 280,485,692,881/246,400
  6. Step 6: Final answer
    x = 1,138,334.79

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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.