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Finding the Third Proportional to 232,191 and 474,224.63

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Solution

The third proportional to 232,191 and 474,224.63 is: 968,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,191 : 474,224.63 = 474,224.63 : x
  2. Step 2: Convert to fraction form
    232,191/474,224.63 = 474,224.63/x
  3. Step 3: Cross multiply
    232,191x = 474,224.63 × 474,224.63
  4. Step 4: Simplify right side
    232,191x = 224,888,994,956.39
  5. Step 5: Solve for x
    x = 224,888,994,956.39/232,191
  6. Step 6: Final answer
    x = 968,551.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.