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Finding the Third Proportional to 263,322.75 and 397,310.63

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Solution

The third proportional to 263,322.75 and 397,310.63 is: 599,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,322.75 : 397,310.63 = 397,310.63 : x
  2. Step 2: Convert to fraction form
    263,322.75/397,310.63 = 397,310.63/x
  3. Step 3: Cross multiply
    263,322.75x = 397,310.63 × 397,310.63
  4. Step 4: Simplify right side
    263,322.75x = 157,855,732,737.89
  5. Step 5: Solve for x
    x = 157,855,732,737.89/263,322.75
  6. Step 6: Final answer
    x = 599,476.24

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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.