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Finding the Third Proportional to 366,428.25 and 807,396.75

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Solution

The third proportional to 366,428.25 and 807,396.75 is: 1,779,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,428.25 : 807,396.75 = 807,396.75 : x
  2. Step 2: Convert to fraction form
    366,428.25/807,396.75 = 807,396.75/x
  3. Step 3: Cross multiply
    366,428.25x = 807,396.75 × 807,396.75
  4. Step 4: Simplify right side
    366,428.25x = 651,889,511,910.56
  5. Step 5: Solve for x
    x = 651,889,511,910.56/366,428.25
  6. Step 6: Final answer
    x = 1,779,037.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.