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Finding the Third Proportional to 383,818.50 and 792,240.75

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Solution

The third proportional to 383,818.50 and 792,240.75 is: 1,635,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,818.50 : 792,240.75 = 792,240.75 : x
  2. Step 2: Convert to fraction form
    383,818.50/792,240.75 = 792,240.75/x
  3. Step 3: Cross multiply
    383,818.50x = 792,240.75 × 792,240.75
  4. Step 4: Simplify right side
    383,818.50x = 627,645,405,960.56
  5. Step 5: Solve for x
    x = 627,645,405,960.56/383,818.50
  6. Step 6: Final answer
    x = 1,635,266.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.