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Finding the Third Proportional to 398,394 and 863,167

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Solution

The third proportional to 398,394 and 863,167 is: 1,870,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,394 : 863,167 = 863,167 : x
  2. Step 2: Convert to fraction form
    398,394/863,167 = 863,167/x
  3. Step 3: Cross multiply
    398,394x = 863,167 × 863,167
  4. Step 4: Simplify right side
    398,394x = 745,057,269,889
  5. Step 5: Solve for x
    x = 745,057,269,889/398,394
  6. Step 6: Final answer
    x = 1,870,151.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.