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Finding the Third Proportional to 627,214 and 942,234

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Solution

The third proportional to 627,214 and 942,234 is: 1,415,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,214 : 942,234 = 942,234 : x
  2. Step 2: Convert to fraction form
    627,214/942,234 = 942,234/x
  3. Step 3: Cross multiply
    627,214x = 942,234 × 942,234
  4. Step 4: Simplify right side
    627,214x = 887,804,910,756
  5. Step 5: Solve for x
    x = 887,804,910,756/627,214
  6. Step 6: Final answer
    x = 1,415,473.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.