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Finding the Third Proportional to 301,863 and 628,529

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Solution

The third proportional to 301,863 and 628,529 is: 1,308,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,863 : 628,529 = 628,529 : x
  2. Step 2: Convert to fraction form
    301,863/628,529 = 628,529/x
  3. Step 3: Cross multiply
    301,863x = 628,529 × 628,529
  4. Step 4: Simplify right side
    301,863x = 395,048,703,841
  5. Step 5: Solve for x
    x = 395,048,703,841/301,863
  6. Step 6: Final answer
    x = 1,308,701.97

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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.