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Finding the Third Proportional to 398,196 and 859,734

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Solution

The third proportional to 398,196 and 859,734 is: 1,856,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,196 : 859,734 = 859,734 : x
  2. Step 2: Convert to fraction form
    398,196/859,734 = 859,734/x
  3. Step 3: Cross multiply
    398,196x = 859,734 × 859,734
  4. Step 4: Simplify right side
    398,196x = 739,142,550,756
  5. Step 5: Solve for x
    x = 739,142,550,756/398,196
  6. Step 6: Final answer
    x = 1,856,227.97

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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.