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Finding the Third Proportional to 306,716.63 and 628,727.06

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Solution

The third proportional to 306,716.63 and 628,727.06 is: 1,288,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,716.63 : 628,727.06 = 628,727.06 : x
  2. Step 2: Convert to fraction form
    306,716.63/628,727.06 = 628,727.06/x
  3. Step 3: Cross multiply
    306,716.63x = 628,727.06 × 628,727.06
  4. Step 4: Simplify right side
    306,716.63x = 395,297,719,119.88
  5. Step 5: Solve for x
    x = 395,297,719,119.88/306,716.63
  6. Step 6: Final answer
    x = 1,288,804.35

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.