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Finding the Third Proportional to 342,945 and 751,270.50

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Solution

The third proportional to 342,945 and 751,270.50 is: 1,645,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,945 : 751,270.50 = 751,270.50 : x
  2. Step 2: Convert to fraction form
    342,945/751,270.50 = 751,270.50/x
  3. Step 3: Cross multiply
    342,945x = 751,270.50 × 751,270.50
  4. Step 4: Simplify right side
    342,945x = 564,407,364,170.25
  5. Step 5: Solve for x
    x = 564,407,364,170.25/342,945
  6. Step 6: Final answer
    x = 1,645,766.42

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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.