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Finding the Third Proportional to 263,509.50 and 397,071

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Solution

The third proportional to 263,509.50 and 397,071 is: 598,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,509.50 : 397,071 = 397,071 : x
  2. Step 2: Convert to fraction form
    263,509.50/397,071 = 397,071/x
  3. Step 3: Cross multiply
    263,509.50x = 397,071 × 397,071
  4. Step 4: Simplify right side
    263,509.50x = 157,665,379,041
  5. Step 5: Solve for x
    x = 157,665,379,041/263,509.50
  6. Step 6: Final answer
    x = 598,329.01

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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.