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Finding the Third Proportional to 422,684 and 627,042

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Solution

The third proportional to 422,684 and 627,042 is: 930,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,684 : 627,042 = 627,042 : x
  2. Step 2: Convert to fraction form
    422,684/627,042 = 627,042/x
  3. Step 3: Cross multiply
    422,684x = 627,042 × 627,042
  4. Step 4: Simplify right side
    422,684x = 393,181,669,764
  5. Step 5: Solve for x
    x = 393,181,669,764/422,684
  6. Step 6: Final answer
    x = 930,202.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.