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Finding the Third Proportional to 384,516.18 and 828,195.26

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Solution

The third proportional to 384,516.18 and 828,195.26 is: 1,783,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,516.18 : 828,195.26 = 828,195.26 : x
  2. Step 2: Convert to fraction form
    384,516.18/828,195.26 = 828,195.26/x
  3. Step 3: Cross multiply
    384,516.18x = 828,195.26 × 828,195.26
  4. Step 4: Simplify right side
    384,516.18x = 685,907,385,063.11
  5. Step 5: Solve for x
    x = 685,907,385,063.11/384,516.18
  6. Step 6: Final answer
    x = 1,783,819.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.