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Finding the Third Proportional to 263,289.75 and 397,261.13

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Solution

The third proportional to 263,289.75 and 397,261.13 is: 599,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,289.75 : 397,261.13 = 397,261.13 : x
  2. Step 2: Convert to fraction form
    263,289.75/397,261.13 = 397,261.13/x
  3. Step 3: Cross multiply
    263,289.75x = 397,261.13 × 397,261.13
  4. Step 4: Simplify right side
    263,289.75x = 157,816,401,436.27
  5. Step 5: Solve for x
    x = 157,816,401,436.27/263,289.75
  6. Step 6: Final answer
    x = 599,402.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.