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Finding the Third Proportional to 408,975.75 and 837,783

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Solution

The third proportional to 408,975.75 and 837,783 is: 1,716,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,975.75 : 837,783 = 837,783 : x
  2. Step 2: Convert to fraction form
    408,975.75/837,783 = 837,783/x
  3. Step 3: Cross multiply
    408,975.75x = 837,783 × 837,783
  4. Step 4: Simplify right side
    408,975.75x = 701,880,355,089
  5. Step 5: Solve for x
    x = 701,880,355,089/408,975.75
  6. Step 6: Final answer
    x = 1,716,190.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.