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Finding the Third Proportional to 398,493 and 859,956

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Solution

The third proportional to 398,493 and 859,956 is: 1,855,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,493 : 859,956 = 859,956 : x
  2. Step 2: Convert to fraction form
    398,493/859,956 = 859,956/x
  3. Step 3: Cross multiply
    398,493x = 859,956 × 859,956
  4. Step 4: Simplify right side
    398,493x = 739,524,321,936
  5. Step 5: Solve for x
    x = 739,524,321,936/398,493
  6. Step 6: Final answer
    x = 1,855,802.54

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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.