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Finding the Third Proportional to 215,286.75 and 463,480.50

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Solution

The third proportional to 215,286.75 and 463,480.50 is: 997,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,286.75 : 463,480.50 = 463,480.50 : x
  2. Step 2: Convert to fraction form
    215,286.75/463,480.50 = 463,480.50/x
  3. Step 3: Cross multiply
    215,286.75x = 463,480.50 × 463,480.50
  4. Step 4: Simplify right side
    215,286.75x = 214,814,173,880.25
  5. Step 5: Solve for x
    x = 214,814,173,880.25/215,286.75
  6. Step 6: Final answer
    x = 997,804.90

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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.