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Finding the Third Proportional to 412,819.50 and 909,442.50

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Solution

The third proportional to 412,819.50 and 909,442.50 is: 2,003,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,819.50 : 909,442.50 = 909,442.50 : x
  2. Step 2: Convert to fraction form
    412,819.50/909,442.50 = 909,442.50/x
  3. Step 3: Cross multiply
    412,819.50x = 909,442.50 × 909,442.50
  4. Step 4: Simplify right side
    412,819.50x = 827,085,660,806.25
  5. Step 5: Solve for x
    x = 827,085,660,806.25/412,819.50
  6. Step 6: Final answer
    x = 2,003,504.34

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