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Finding the Third Proportional to 396,326 and 935,405

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Solution

The third proportional to 396,326 and 935,405 is: 2,207,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,326 : 935,405 = 935,405 : x
  2. Step 2: Convert to fraction form
    396,326/935,405 = 935,405/x
  3. Step 3: Cross multiply
    396,326x = 935,405 × 935,405
  4. Step 4: Simplify right side
    396,326x = 874,982,514,025
  5. Step 5: Solve for x
    x = 874,982,514,025/396,326
  6. Step 6: Final answer
    x = 2,207,734.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.