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Finding the Third Proportional to 396,144 and 592,697.25

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Solution

The third proportional to 396,144 and 592,697.25 is: 886,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,144 : 592,697.25 = 592,697.25 : x
  2. Step 2: Convert to fraction form
    396,144/592,697.25 = 592,697.25/x
  3. Step 3: Cross multiply
    396,144x = 592,697.25 × 592,697.25
  4. Step 4: Simplify right side
    396,144x = 351,290,030,157.56
  5. Step 5: Solve for x
    x = 351,290,030,157.56/396,144
  6. Step 6: Final answer
    x = 886,773.57

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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.