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Finding the Third Proportional to 306,057.75 and 666,324

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Solution

The third proportional to 306,057.75 and 666,324 is: 1,450,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,057.75 : 666,324 = 666,324 : x
  2. Step 2: Convert to fraction form
    306,057.75/666,324 = 666,324/x
  3. Step 3: Cross multiply
    306,057.75x = 666,324 × 666,324
  4. Step 4: Simplify right side
    306,057.75x = 443,987,672,976
  5. Step 5: Solve for x
    x = 443,987,672,976/306,057.75
  6. Step 6: Final answer
    x = 1,450,666.33

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Why These Related Problems?

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