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Finding the Third Proportional to 301,198.50 and 627,345

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Solution

The third proportional to 301,198.50 and 627,345 is: 1,306,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,198.50 : 627,345 = 627,345 : x
  2. Step 2: Convert to fraction form
    301,198.50/627,345 = 627,345/x
  3. Step 3: Cross multiply
    301,198.50x = 627,345 × 627,345
  4. Step 4: Simplify right side
    301,198.50x = 393,561,749,025
  5. Step 5: Solve for x
    x = 393,561,749,025/301,198.50
  6. Step 6: Final answer
    x = 1,306,652.42

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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.