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Finding the Third Proportional to 301,774 and 628,333

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Solution

The third proportional to 301,774 and 628,333 is: 1,308,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,774 : 628,333 = 628,333 : x
  2. Step 2: Convert to fraction form
    301,774/628,333 = 628,333/x
  3. Step 3: Cross multiply
    301,774x = 628,333 × 628,333
  4. Step 4: Simplify right side
    301,774x = 394,802,358,889
  5. Step 5: Solve for x
    x = 394,802,358,889/301,774
  6. Step 6: Final answer
    x = 1,308,271.62

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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.