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Finding the Third Proportional to 301,696.88 and 628,422.75

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Solution

The third proportional to 301,696.88 and 628,422.75 is: 1,308,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,696.88 : 628,422.75 = 628,422.75 : x
  2. Step 2: Convert to fraction form
    301,696.88/628,422.75 = 628,422.75/x
  3. Step 3: Cross multiply
    301,696.88x = 628,422.75 × 628,422.75
  4. Step 4: Simplify right side
    301,696.88x = 394,915,152,717.56
  5. Step 5: Solve for x
    x = 394,915,152,717.56/301,696.88
  6. Step 6: Final answer
    x = 1,308,979.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.