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Finding the Third Proportional to 331,322 and 510,194

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Solution

The third proportional to 331,322 and 510,194 is: 785,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,322 : 510,194 = 510,194 : x
  2. Step 2: Convert to fraction form
    331,322/510,194 = 510,194/x
  3. Step 3: Cross multiply
    331,322x = 510,194 × 510,194
  4. Step 4: Simplify right side
    331,322x = 260,297,917,636
  5. Step 5: Solve for x
    x = 260,297,917,636/331,322
  6. Step 6: Final answer
    x = 785,634.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.