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Finding the Third Proportional to 397,284.75 and 882,836.44

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Solution

The third proportional to 397,284.75 and 882,836.44 is: 1,961,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,284.75 : 882,836.44 = 882,836.44 : x
  2. Step 2: Convert to fraction form
    397,284.75/882,836.44 = 882,836.44/x
  3. Step 3: Cross multiply
    397,284.75x = 882,836.44 × 882,836.44
  4. Step 4: Simplify right side
    397,284.75x = 779,400,175,377.69
  5. Step 5: Solve for x
    x = 779,400,175,377.69/397,284.75
  6. Step 6: Final answer
    x = 1,961,817.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.