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Finding the Third Proportional to 366,399 and 582,844.50

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Solution

The third proportional to 366,399 and 582,844.50 is: 927,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,399 : 582,844.50 = 582,844.50 : x
  2. Step 2: Convert to fraction form
    366,399/582,844.50 = 582,844.50/x
  3. Step 3: Cross multiply
    366,399x = 582,844.50 × 582,844.50
  4. Step 4: Simplify right side
    366,399x = 339,707,711,180.25
  5. Step 5: Solve for x
    x = 339,707,711,180.25/366,399
  6. Step 6: Final answer
    x = 927,152.40

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