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Finding the Third Proportional to 366,405 and 582,854

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Solution

The third proportional to 366,405 and 582,854 is: 927,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,405 : 582,854 = 582,854 : x
  2. Step 2: Convert to fraction form
    366,405/582,854 = 582,854/x
  3. Step 3: Cross multiply
    366,405x = 582,854 × 582,854
  4. Step 4: Simplify right side
    366,405x = 339,718,785,316
  5. Step 5: Solve for x
    x = 339,718,785,316/366,405
  6. Step 6: Final answer
    x = 927,167.44

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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.