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Finding the Third Proportional to 305,619.75 and 483,828.19

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Solution

The third proportional to 305,619.75 and 483,828.19 is: 765,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,619.75 : 483,828.19 = 483,828.19 : x
  2. Step 2: Convert to fraction form
    305,619.75/483,828.19 = 483,828.19/x
  3. Step 3: Cross multiply
    305,619.75x = 483,828.19 × 483,828.19
  4. Step 4: Simplify right side
    305,619.75x = 234,089,715,019.54
  5. Step 5: Solve for x
    x = 234,089,715,019.54/305,619.75
  6. Step 6: Final answer
    x = 765,950.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.