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Finding the Third Proportional to 379,336.29 and 828,178.17

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Solution

The third proportional to 379,336.29 and 828,178.17 is: 1,808,103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,336.29 : 828,178.17 = 828,178.17 : x
  2. Step 2: Convert to fraction form
    379,336.29/828,178.17 = 828,178.17/x
  3. Step 3: Cross multiply
    379,336.29x = 828,178.17 × 828,178.17
  4. Step 4: Simplify right side
    379,336.29x = 685,879,084,370.22
  5. Step 5: Solve for x
    x = 685,879,084,370.22/379,336.29
  6. Step 6: Final answer
    x = 1,808,103.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.