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Finding the Third Proportional to 367,056 and 493,992

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Solution

The third proportional to 367,056 and 493,992 is: 664,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,056 : 493,992 = 493,992 : x
  2. Step 2: Convert to fraction form
    367,056/493,992 = 493,992/x
  3. Step 3: Cross multiply
    367,056x = 493,992 × 493,992
  4. Step 4: Simplify right side
    367,056x = 244,028,096,064
  5. Step 5: Solve for x
    x = 244,028,096,064/367,056
  6. Step 6: Final answer
    x = 664,825.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.