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Finding the Third Proportional to 341,393.06 and 512,964.56

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Solution

The third proportional to 341,393.06 and 512,964.56 is: 770,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,393.06 : 512,964.56 = 512,964.56 : x
  2. Step 2: Convert to fraction form
    341,393.06/512,964.56 = 512,964.56/x
  3. Step 3: Cross multiply
    341,393.06x = 512,964.56 × 512,964.56
  4. Step 4: Simplify right side
    341,393.06x = 263,132,642,380.82
  5. Step 5: Solve for x
    x = 263,132,642,380.82/341,393.06
  6. Step 6: Final answer
    x = 770,761.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.