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Finding the Third Proportional to 350,481.94 and 760,012.88

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Solution

The third proportional to 350,481.94 and 760,012.88 is: 1,648,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,481.94 : 760,012.88 = 760,012.88 : x
  2. Step 2: Convert to fraction form
    350,481.94/760,012.88 = 760,012.88/x
  3. Step 3: Cross multiply
    350,481.94x = 760,012.88 × 760,012.88
  4. Step 4: Simplify right side
    350,481.94x = 577,619,570,165.77
  5. Step 5: Solve for x
    x = 577,619,570,165.77/350,481.94
  6. Step 6: Final answer
    x = 1,648,072.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.