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Finding the Third Proportional to 396,488.50 and 593,000

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Solution

The third proportional to 396,488.50 and 593,000 is: 886,908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,488.50 : 593,000 = 593,000 : x
  2. Step 2: Convert to fraction form
    396,488.50/593,000 = 593,000/x
  3. Step 3: Cross multiply
    396,488.50x = 593,000 × 593,000
  4. Step 4: Simplify right side
    396,488.50x = 351,649,000,000
  5. Step 5: Solve for x
    x = 351,649,000,000/396,488.50
  6. Step 6: Final answer
    x = 886,908.45

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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.