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Finding the Third Proportional to 343,293.19 and 751,982.06

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Solution

The third proportional to 343,293.19 and 751,982.06 is: 1,647,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,293.19 : 751,982.06 = 751,982.06 : x
  2. Step 2: Convert to fraction form
    343,293.19/751,982.06 = 751,982.06/x
  3. Step 3: Cross multiply
    343,293.19x = 751,982.06 × 751,982.06
  4. Step 4: Simplify right side
    343,293.19x = 565,477,022,321.75
  5. Step 5: Solve for x
    x = 565,477,022,321.75/343,293.19
  6. Step 6: Final answer
    x = 1,647,213.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.