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Finding the Third Proportional to 191,944.69 and 417,924.56

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Solution

The third proportional to 191,944.69 and 417,924.56 is: 909,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,944.69 : 417,924.56 = 417,924.56 : x
  2. Step 2: Convert to fraction form
    191,944.69/417,924.56 = 417,924.56/x
  3. Step 3: Cross multiply
    191,944.69x = 417,924.56 × 417,924.56
  4. Step 4: Simplify right side
    191,944.69x = 174,660,939,940.82
  5. Step 5: Solve for x
    x = 174,660,939,940.82/191,944.69
  6. Step 6: Final answer
    x = 909,954.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.