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Finding the Third Proportional to 307,992 and 452,016

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Solution

The third proportional to 307,992 and 452,016 is: 663,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,992 : 452,016 = 452,016 : x
  2. Step 2: Convert to fraction form
    307,992/452,016 = 452,016/x
  3. Step 3: Cross multiply
    307,992x = 452,016 × 452,016
  4. Step 4: Simplify right side
    307,992x = 204,318,464,256
  5. Step 5: Solve for x
    x = 204,318,464,256/307,992
  6. Step 6: Final answer
    x = 663,388.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.