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Finding the Third Proportional to 306,863.44 and 370,833.19

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Solution

The third proportional to 306,863.44 and 370,833.19 is: 448,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,863.44 : 370,833.19 = 370,833.19 : x
  2. Step 2: Convert to fraction form
    306,863.44/370,833.19 = 370,833.19/x
  3. Step 3: Cross multiply
    306,863.44x = 370,833.19 × 370,833.19
  4. Step 4: Simplify right side
    306,863.44x = 137,517,252,951.41
  5. Step 5: Solve for x
    x = 137,517,252,951.41/306,863.44
  6. Step 6: Final answer
    x = 448,138.28

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.