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Finding the Third Proportional to 263,994.75 and 560,711.25

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Solution

The third proportional to 263,994.75 and 560,711.25 is: 1,190,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,994.75 : 560,711.25 = 560,711.25 : x
  2. Step 2: Convert to fraction form
    263,994.75/560,711.25 = 560,711.25/x
  3. Step 3: Cross multiply
    263,994.75x = 560,711.25 × 560,711.25
  4. Step 4: Simplify right side
    263,994.75x = 314,397,105,876.56
  5. Step 5: Solve for x
    x = 314,397,105,876.56/263,994.75
  6. Step 6: Final answer
    x = 1,190,921.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.