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Finding the Third Proportional to 317,296 and 467,168

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Solution

The third proportional to 317,296 and 467,168 is: 687,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,296 : 467,168 = 467,168 : x
  2. Step 2: Convert to fraction form
    317,296/467,168 = 467,168/x
  3. Step 3: Cross multiply
    317,296x = 467,168 × 467,168
  4. Step 4: Simplify right side
    317,296x = 218,245,940,224
  5. Step 5: Solve for x
    x = 218,245,940,224/317,296
  6. Step 6: Final answer
    x = 687,830.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.