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Finding the Third Proportional to 396,864 and 596,196

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Solution

The third proportional to 396,864 and 596,196 is: 895,646.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,864 : 596,196 = 596,196 : x
  2. Step 2: Convert to fraction form
    396,864/596,196 = 596,196/x
  3. Step 3: Cross multiply
    396,864x = 596,196 × 596,196
  4. Step 4: Simplify right side
    396,864x = 355,449,670,416
  5. Step 5: Solve for x
    x = 355,449,670,416/396,864
  6. Step 6: Final answer
    x = 895,646.04

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