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Finding the Third Proportional to 396,214 and 857,005

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Solution

The third proportional to 396,214 and 857,005 is: 1,853,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,214 : 857,005 = 857,005 : x
  2. Step 2: Convert to fraction form
    396,214/857,005 = 857,005/x
  3. Step 3: Cross multiply
    396,214x = 857,005 × 857,005
  4. Step 4: Simplify right side
    396,214x = 734,457,570,025
  5. Step 5: Solve for x
    x = 734,457,570,025/396,214
  6. Step 6: Final answer
    x = 1,853,689.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.