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Finding the Third Proportional to 396,946 and 936,277

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Solution

The third proportional to 396,946 and 936,277 is: 2,208,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,946 : 936,277 = 936,277 : x
  2. Step 2: Convert to fraction form
    396,946/936,277 = 936,277/x
  3. Step 3: Cross multiply
    396,946x = 936,277 × 936,277
  4. Step 4: Simplify right side
    396,946x = 876,614,620,729
  5. Step 5: Solve for x
    x = 876,614,620,729/396,946
  6. Step 6: Final answer
    x = 2,208,397.67

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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.