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Finding the Third Proportional to 330,966 and 467,928

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Solution

The third proportional to 330,966 and 467,928 is: 661,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,966 : 467,928 = 467,928 : x
  2. Step 2: Convert to fraction form
    330,966/467,928 = 467,928/x
  3. Step 3: Cross multiply
    330,966x = 467,928 × 467,928
  4. Step 4: Simplify right side
    330,966x = 218,956,613,184
  5. Step 5: Solve for x
    x = 218,956,613,184/330,966
  6. Step 6: Final answer
    x = 661,568.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.