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Finding the Third Proportional to 396,733 and 936,382

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Solution

The third proportional to 396,733 and 936,382 is: 2,210,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,733 : 936,382 = 936,382 : x
  2. Step 2: Convert to fraction form
    396,733/936,382 = 936,382/x
  3. Step 3: Cross multiply
    396,733x = 936,382 × 936,382
  4. Step 4: Simplify right side
    396,733x = 876,811,249,924
  5. Step 5: Solve for x
    x = 876,811,249,924/396,733
  6. Step 6: Final answer
    x = 2,210,078.94

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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.