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Finding the Third Proportional to 263,350.50 and 558,075

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Solution

The third proportional to 263,350.50 and 558,075 is: 1,182,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,350.50 : 558,075 = 558,075 : x
  2. Step 2: Convert to fraction form
    263,350.50/558,075 = 558,075/x
  3. Step 3: Cross multiply
    263,350.50x = 558,075 × 558,075
  4. Step 4: Simplify right side
    263,350.50x = 311,447,705,625
  5. Step 5: Solve for x
    x = 311,447,705,625/263,350.50
  6. Step 6: Final answer
    x = 1,182,635.71

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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.