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Finding the Third Proportional to 389,546 and 582,753

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Solution

The third proportional to 389,546 and 582,753 is: 871,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,546 : 582,753 = 582,753 : x
  2. Step 2: Convert to fraction form
    389,546/582,753 = 582,753/x
  3. Step 3: Cross multiply
    389,546x = 582,753 × 582,753
  4. Step 4: Simplify right side
    389,546x = 339,601,059,009
  5. Step 5: Solve for x
    x = 339,601,059,009/389,546
  6. Step 6: Final answer
    x = 871,786.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.