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Finding the Third Proportional to 317,204 and 683,917

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Solution

The third proportional to 317,204 and 683,917 is: 1,474,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,204 : 683,917 = 683,917 : x
  2. Step 2: Convert to fraction form
    317,204/683,917 = 683,917/x
  3. Step 3: Cross multiply
    317,204x = 683,917 × 683,917
  4. Step 4: Simplify right side
    317,204x = 467,742,462,889
  5. Step 5: Solve for x
    x = 467,742,462,889/317,204
  6. Step 6: Final answer
    x = 1,474,579.33

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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.