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Finding the Third Proportional to 301,074.75 and 661,191.75

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Solution

The third proportional to 301,074.75 and 661,191.75 is: 1,452,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,074.75 : 661,191.75 = 661,191.75 : x
  2. Step 2: Convert to fraction form
    301,074.75/661,191.75 = 661,191.75/x
  3. Step 3: Cross multiply
    301,074.75x = 661,191.75 × 661,191.75
  4. Step 4: Simplify right side
    301,074.75x = 437,174,530,268.06
  5. Step 5: Solve for x
    x = 437,174,530,268.06/301,074.75
  6. Step 6: Final answer
    x = 1,452,046.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.