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Finding the Third Proportional to 367,059 and 493,996

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Solution

The third proportional to 367,059 and 493,996 is: 664,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,059 : 493,996 = 493,996 : x
  2. Step 2: Convert to fraction form
    367,059/493,996 = 493,996/x
  3. Step 3: Cross multiply
    367,059x = 493,996 × 493,996
  4. Step 4: Simplify right side
    367,059x = 244,032,048,016
  5. Step 5: Solve for x
    x = 244,032,048,016/367,059
  6. Step 6: Final answer
    x = 664,830.58

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