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Finding the Third Proportional to 305,967.38 and 666,371.81

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Solution

The third proportional to 305,967.38 and 666,371.81 is: 1,451,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,967.38 : 666,371.81 = 666,371.81 : x
  2. Step 2: Convert to fraction form
    305,967.38/666,371.81 = 666,371.81/x
  3. Step 3: Cross multiply
    305,967.38x = 666,371.81 × 666,371.81
  4. Step 4: Simplify right side
    305,967.38x = 444,051,392,494.54
  5. Step 5: Solve for x
    x = 444,051,392,494.54/305,967.38
  6. Step 6: Final answer
    x = 1,451,303.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.