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Finding the Third Proportional to 386,968.50 and 582,720.75

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Solution

The third proportional to 386,968.50 and 582,720.75 is: 877,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,968.50 : 582,720.75 = 582,720.75 : x
  2. Step 2: Convert to fraction form
    386,968.50/582,720.75 = 582,720.75/x
  3. Step 3: Cross multiply
    386,968.50x = 582,720.75 × 582,720.75
  4. Step 4: Simplify right side
    386,968.50x = 339,563,472,480.56
  5. Step 5: Solve for x
    x = 339,563,472,480.56/386,968.50
  6. Step 6: Final answer
    x = 877,496.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.