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Finding the Third Proportional to 262,646 and 393,873

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Solution

The third proportional to 262,646 and 393,873 is: 590,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,646 : 393,873 = 393,873 : x
  2. Step 2: Convert to fraction form
    262,646/393,873 = 393,873/x
  3. Step 3: Cross multiply
    262,646x = 393,873 × 393,873
  4. Step 4: Simplify right side
    262,646x = 155,135,940,129
  5. Step 5: Solve for x
    x = 155,135,940,129/262,646
  6. Step 6: Final answer
    x = 590,665.54

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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.