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Finding the Third Proportional to 262,453.50 and 575,754.75

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Solution

The third proportional to 262,453.50 and 575,754.75 is: 1,263,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,453.50 : 575,754.75 = 575,754.75 : x
  2. Step 2: Convert to fraction form
    262,453.50/575,754.75 = 575,754.75/x
  3. Step 3: Cross multiply
    262,453.50x = 575,754.75 × 575,754.75
  4. Step 4: Simplify right side
    262,453.50x = 331,493,532,147.56
  5. Step 5: Solve for x
    x = 331,493,532,147.56/262,453.50
  6. Step 6: Final answer
    x = 1,263,056.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.