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Finding the Third Proportional to 424,040.63 and 655,745.63

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Solution

The third proportional to 424,040.63 and 655,745.63 is: 1,014,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,040.63 : 655,745.63 = 655,745.63 : x
  2. Step 2: Convert to fraction form
    424,040.63/655,745.63 = 655,745.63/x
  3. Step 3: Cross multiply
    424,040.63x = 655,745.63 × 655,745.63
  4. Step 4: Simplify right side
    424,040.63x = 430,002,324,706.64
  5. Step 5: Solve for x
    x = 430,002,324,706.64/424,040.63
  6. Step 6: Final answer
    x = 1,014,059.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.