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Finding the Third Proportional to 398,193 and 859,779

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Solution

The third proportional to 398,193 and 859,779 is: 1,856,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,193 : 859,779 = 859,779 : x
  2. Step 2: Convert to fraction form
    398,193/859,779 = 859,779/x
  3. Step 3: Cross multiply
    398,193x = 859,779 × 859,779
  4. Step 4: Simplify right side
    398,193x = 739,219,928,841
  5. Step 5: Solve for x
    x = 739,219,928,841/398,193
  6. Step 6: Final answer
    x = 1,856,436.27

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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.