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Finding the Third Proportional to 263,350 and 419,085

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Solution

The third proportional to 263,350 and 419,085 is: 666,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,350 : 419,085 = 419,085 : x
  2. Step 2: Convert to fraction form
    263,350/419,085 = 419,085/x
  3. Step 3: Cross multiply
    263,350x = 419,085 × 419,085
  4. Step 4: Simplify right side
    263,350x = 175,632,237,225
  5. Step 5: Solve for x
    x = 175,632,237,225/263,350
  6. Step 6: Final answer
    x = 666,915.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.