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Finding the Third Proportional to 317,256 and 467,112

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Solution

The third proportional to 317,256 and 467,112 is: 687,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,256 : 467,112 = 467,112 : x
  2. Step 2: Convert to fraction form
    317,256/467,112 = 467,112/x
  3. Step 3: Cross multiply
    317,256x = 467,112 × 467,112
  4. Step 4: Simplify right side
    317,256x = 218,193,620,544
  5. Step 5: Solve for x
    x = 218,193,620,544/317,256
  6. Step 6: Final answer
    x = 687,752.54

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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.