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Finding the Third Proportional to 396,898.88 and 596,241.56

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Solution

The third proportional to 396,898.88 and 596,241.56 is: 895,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,898.88 : 596,241.56 = 596,241.56 : x
  2. Step 2: Convert to fraction form
    396,898.88/596,241.56 = 596,241.56/x
  3. Step 3: Cross multiply
    396,898.88x = 596,241.56 × 596,241.56
  4. Step 4: Simplify right side
    396,898.88x = 355,504,000,852.44
  5. Step 5: Solve for x
    x = 355,504,000,852.44/396,898.88
  6. Step 6: Final answer
    x = 895,704.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.