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Finding the Third Proportional to 317,208 and 467,049

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Solution

The third proportional to 317,208 and 467,049 is: 687,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,208 : 467,049 = 467,049 : x
  2. Step 2: Convert to fraction form
    317,208/467,049 = 467,049/x
  3. Step 3: Cross multiply
    317,208x = 467,049 × 467,049
  4. Step 4: Simplify right side
    317,208x = 218,134,768,401
  5. Step 5: Solve for x
    x = 218,134,768,401/317,208
  6. Step 6: Final answer
    x = 687,671.08

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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.