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Finding the Third Proportional to 384,520.50 and 828,206

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Solution

The third proportional to 384,520.50 and 828,206 is: 1,783,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,520.50 : 828,206 = 828,206 : x
  2. Step 2: Convert to fraction form
    384,520.50/828,206 = 828,206/x
  3. Step 3: Cross multiply
    384,520.50x = 828,206 × 828,206
  4. Step 4: Simplify right side
    384,520.50x = 685,925,178,436
  5. Step 5: Solve for x
    x = 685,925,178,436/384,520.50
  6. Step 6: Final answer
    x = 1,783,845.54

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Why These Related Problems?

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