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Finding the Third Proportional to 396,888 and 596,226

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Solution

The third proportional to 396,888 and 596,226 is: 895,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,888 : 596,226 = 596,226 : x
  2. Step 2: Convert to fraction form
    396,888/596,226 = 596,226/x
  3. Step 3: Cross multiply
    396,888x = 596,226 × 596,226
  4. Step 4: Simplify right side
    396,888x = 355,485,443,076
  5. Step 5: Solve for x
    x = 355,485,443,076/396,888
  6. Step 6: Final answer
    x = 895,682.01

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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.