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Finding the Third Proportional to 263,611.88 and 399,114.75

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Solution

The third proportional to 263,611.88 and 399,114.75 is: 604,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,611.88 : 399,114.75 = 399,114.75 : x
  2. Step 2: Convert to fraction form
    263,611.88/399,114.75 = 399,114.75/x
  3. Step 3: Cross multiply
    263,611.88x = 399,114.75 × 399,114.75
  4. Step 4: Simplify right side
    263,611.88x = 159,292,583,667.56
  5. Step 5: Solve for x
    x = 159,292,583,667.56/263,611.88
  6. Step 6: Final answer
    x = 604,269.38

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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.