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Finding the Third Proportional to 305,296 and 467,034

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Solution

The third proportional to 305,296 and 467,034 is: 714,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,296 : 467,034 = 467,034 : x
  2. Step 2: Convert to fraction form
    305,296/467,034 = 467,034/x
  3. Step 3: Cross multiply
    305,296x = 467,034 × 467,034
  4. Step 4: Simplify right side
    305,296x = 218,120,757,156
  5. Step 5: Solve for x
    x = 218,120,757,156/305,296
  6. Step 6: Final answer
    x = 714,456.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.