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Finding the Third Proportional to 396,912 and 596,259

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Solution

The third proportional to 396,912 and 596,259 is: 895,727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,912 : 596,259 = 596,259 : x
  2. Step 2: Convert to fraction form
    396,912/596,259 = 596,259/x
  3. Step 3: Cross multiply
    396,912x = 596,259 × 596,259
  4. Step 4: Simplify right side
    396,912x = 355,524,795,081
  5. Step 5: Solve for x
    x = 355,524,795,081/396,912
  6. Step 6: Final answer
    x = 895,727.00

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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.