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Finding the Third Proportional to 364,833 and 582,811

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Solution

The third proportional to 364,833 and 582,811 is: 931,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,833 : 582,811 = 582,811 : x
  2. Step 2: Convert to fraction form
    364,833/582,811 = 582,811/x
  3. Step 3: Cross multiply
    364,833x = 582,811 × 582,811
  4. Step 4: Simplify right side
    364,833x = 339,668,661,721
  5. Step 5: Solve for x
    x = 339,668,661,721/364,833
  6. Step 6: Final answer
    x = 931,025.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.