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Finding the Third Proportional to 396,172 and 596,155

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Solution

The third proportional to 396,172 and 596,155 is: 897,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,172 : 596,155 = 596,155 : x
  2. Step 2: Convert to fraction form
    396,172/596,155 = 596,155/x
  3. Step 3: Cross multiply
    396,172x = 596,155 × 596,155
  4. Step 4: Simplify right side
    396,172x = 355,400,784,025
  5. Step 5: Solve for x
    x = 355,400,784,025/396,172
  6. Step 6: Final answer
    x = 897,087.08

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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.