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Finding the Third Proportional to 345,629.25 and 751,844.81

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Solution

The third proportional to 345,629.25 and 751,844.81 is: 1,635,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,629.25 : 751,844.81 = 751,844.81 : x
  2. Step 2: Convert to fraction form
    345,629.25/751,844.81 = 751,844.81/x
  3. Step 3: Cross multiply
    345,629.25x = 751,844.81 × 751,844.81
  4. Step 4: Simplify right side
    345,629.25x = 565,270,622,083.16
  5. Step 5: Solve for x
    x = 565,270,622,083.16/345,629.25
  6. Step 6: Final answer
    x = 1,635,482.59

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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.