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Finding the Third Proportional to 306,057.75 and 666,324.75

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Solution

The third proportional to 306,057.75 and 666,324.75 is: 1,450,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,057.75 : 666,324.75 = 666,324.75 : x
  2. Step 2: Convert to fraction form
    306,057.75/666,324.75 = 666,324.75/x
  3. Step 3: Cross multiply
    306,057.75x = 666,324.75 × 666,324.75
  4. Step 4: Simplify right side
    306,057.75x = 443,988,672,462.56
  5. Step 5: Solve for x
    x = 443,988,672,462.56/306,057.75
  6. Step 6: Final answer
    x = 1,450,669.60

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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.