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Finding the Third Proportional to 384,534.75 and 828,229.50

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Solution

The third proportional to 384,534.75 and 828,229.50 is: 1,783,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,534.75 : 828,229.50 = 828,229.50 : x
  2. Step 2: Convert to fraction form
    384,534.75/828,229.50 = 828,229.50/x
  3. Step 3: Cross multiply
    384,534.75x = 828,229.50 × 828,229.50
  4. Step 4: Simplify right side
    384,534.75x = 685,964,104,670.25
  5. Step 5: Solve for x
    x = 685,964,104,670.25/384,534.75
  6. Step 6: Final answer
    x = 1,783,880.66

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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.