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Finding the Third Proportional to 301,464.75 and 627,738

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Solution

The third proportional to 301,464.75 and 627,738 is: 1,307,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,464.75 : 627,738 = 627,738 : x
  2. Step 2: Convert to fraction form
    301,464.75/627,738 = 627,738/x
  3. Step 3: Cross multiply
    301,464.75x = 627,738 × 627,738
  4. Step 4: Simplify right side
    301,464.75x = 394,054,996,644
  5. Step 5: Solve for x
    x = 394,054,996,644/301,464.75
  6. Step 6: Final answer
    x = 1,307,134.57

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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.