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Finding the Third Proportional to 301,768 and 628,321

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Solution

The third proportional to 301,768 and 628,321 is: 1,308,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,768 : 628,321 = 628,321 : x
  2. Step 2: Convert to fraction form
    301,768/628,321 = 628,321/x
  3. Step 3: Cross multiply
    301,768x = 628,321 × 628,321
  4. Step 4: Simplify right side
    301,768x = 394,787,279,041
  5. Step 5: Solve for x
    x = 394,787,279,041/301,768
  6. Step 6: Final answer
    x = 1,308,247.66

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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.