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Finding the Third Proportional to 366,410 and 582,843

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Solution

The third proportional to 366,410 and 582,843 is: 927,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,410 : 582,843 = 582,843 : x
  2. Step 2: Convert to fraction form
    366,410/582,843 = 582,843/x
  3. Step 3: Cross multiply
    366,410x = 582,843 × 582,843
  4. Step 4: Simplify right side
    366,410x = 339,705,962,649
  5. Step 5: Solve for x
    x = 339,705,962,649/366,410
  6. Step 6: Final answer
    x = 927,119.79

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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.