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Finding the Third Proportional to 317,208 and 683,934

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Solution

The third proportional to 317,208 and 683,934 is: 1,474,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,208 : 683,934 = 683,934 : x
  2. Step 2: Convert to fraction form
    317,208/683,934 = 683,934/x
  3. Step 3: Cross multiply
    317,208x = 683,934 × 683,934
  4. Step 4: Simplify right side
    317,208x = 467,765,716,356
  5. Step 5: Solve for x
    x = 467,765,716,356/317,208
  6. Step 6: Final answer
    x = 1,474,634.05

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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.