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Finding the Third Proportional to 387,762.75 and 582,054

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Solution

The third proportional to 387,762.75 and 582,054 is: 873,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,762.75 : 582,054 = 582,054 : x
  2. Step 2: Convert to fraction form
    387,762.75/582,054 = 582,054/x
  3. Step 3: Cross multiply
    387,762.75x = 582,054 × 582,054
  4. Step 4: Simplify right side
    387,762.75x = 338,786,858,916
  5. Step 5: Solve for x
    x = 338,786,858,916/387,762.75
  6. Step 6: Final answer
    x = 873,696.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.