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Finding the Third Proportional to 339,802 and 476,326

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Solution

The third proportional to 339,802 and 476,326 is: 667,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,802 : 476,326 = 476,326 : x
  2. Step 2: Convert to fraction form
    339,802/476,326 = 476,326/x
  3. Step 3: Cross multiply
    339,802x = 476,326 × 476,326
  4. Step 4: Simplify right side
    339,802x = 226,886,458,276
  5. Step 5: Solve for x
    x = 226,886,458,276/339,802
  6. Step 6: Final answer
    x = 667,701.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.