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Finding the Third Proportional to 183,544 and 396,464

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Solution

The third proportional to 183,544 and 396,464 is: 856,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,544 : 396,464 = 396,464 : x
  2. Step 2: Convert to fraction form
    183,544/396,464 = 396,464/x
  3. Step 3: Cross multiply
    183,544x = 396,464 × 396,464
  4. Step 4: Simplify right side
    183,544x = 157,183,703,296
  5. Step 5: Solve for x
    x = 157,183,703,296/183,544
  6. Step 6: Final answer
    x = 856,381.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.