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Finding the Third Proportional to 366,401 and 582,852

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Solution

The third proportional to 366,401 and 582,852 is: 927,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,401 : 582,852 = 582,852 : x
  2. Step 2: Convert to fraction form
    366,401/582,852 = 582,852/x
  3. Step 3: Cross multiply
    366,401x = 582,852 × 582,852
  4. Step 4: Simplify right side
    366,401x = 339,716,453,904
  5. Step 5: Solve for x
    x = 339,716,453,904/366,401
  6. Step 6: Final answer
    x = 927,171.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.