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Finding the Third Proportional to 234,419 and 363,212

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Solution

The third proportional to 234,419 and 363,212 is: 562,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,419 : 363,212 = 363,212 : x
  2. Step 2: Convert to fraction form
    234,419/363,212 = 363,212/x
  3. Step 3: Cross multiply
    234,419x = 363,212 × 363,212
  4. Step 4: Simplify right side
    234,419x = 131,922,956,944
  5. Step 5: Solve for x
    x = 131,922,956,944/234,419
  6. Step 6: Final answer
    x = 562,765.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.