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Finding the Third Proportional to 263,344.50 and 558,063

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Solution

The third proportional to 263,344.50 and 558,063 is: 1,182,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,344.50 : 558,063 = 558,063 : x
  2. Step 2: Convert to fraction form
    263,344.50/558,063 = 558,063/x
  3. Step 3: Cross multiply
    263,344.50x = 558,063 × 558,063
  4. Step 4: Simplify right side
    263,344.50x = 311,434,311,969
  5. Step 5: Solve for x
    x = 311,434,311,969/263,344.50
  6. Step 6: Final answer
    x = 1,182,611.80

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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.