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Finding the Third Proportional to 512,114 and 775,245

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Solution

The third proportional to 512,114 and 775,245 is: 1,173,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,114 : 775,245 = 775,245 : x
  2. Step 2: Convert to fraction form
    512,114/775,245 = 775,245/x
  3. Step 3: Cross multiply
    512,114x = 775,245 × 775,245
  4. Step 4: Simplify right side
    512,114x = 601,004,810,025
  5. Step 5: Solve for x
    x = 601,004,810,025/512,114
  6. Step 6: Final answer
    x = 1,173,576.22

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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.