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Finding the Third Proportional to 306,964.50 and 664,371.75

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Solution

The third proportional to 306,964.50 and 664,371.75 is: 1,437,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,964.50 : 664,371.75 = 664,371.75 : x
  2. Step 2: Convert to fraction form
    306,964.50/664,371.75 = 664,371.75/x
  3. Step 3: Cross multiply
    306,964.50x = 664,371.75 × 664,371.75
  4. Step 4: Simplify right side
    306,964.50x = 441,389,822,198.06
  5. Step 5: Solve for x
    x = 441,389,822,198.06/306,964.50
  6. Step 6: Final answer
    x = 1,437,918.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.