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Finding the Third Proportional to 262,192 and 400,930

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Solution

The third proportional to 262,192 and 400,930 is: 613,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,192 : 400,930 = 400,930 : x
  2. Step 2: Convert to fraction form
    262,192/400,930 = 400,930/x
  3. Step 3: Cross multiply
    262,192x = 400,930 × 400,930
  4. Step 4: Simplify right side
    262,192x = 160,744,864,900
  5. Step 5: Solve for x
    x = 160,744,864,900/262,192
  6. Step 6: Final answer
    x = 613,080.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.