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Finding the Third Proportional to 307,231 and 668,317

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Solution

The third proportional to 307,231 and 668,317 is: 1,453,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,231 : 668,317 = 668,317 : x
  2. Step 2: Convert to fraction form
    307,231/668,317 = 668,317/x
  3. Step 3: Cross multiply
    307,231x = 668,317 × 668,317
  4. Step 4: Simplify right side
    307,231x = 446,647,612,489
  5. Step 5: Solve for x
    x = 446,647,612,489/307,231
  6. Step 6: Final answer
    x = 1,453,784.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.