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Finding the Third Proportional to 492,077 and 738,116

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Solution

The third proportional to 492,077 and 738,116 is: 1,107,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,077 : 738,116 = 738,116 : x
  2. Step 2: Convert to fraction form
    492,077/738,116 = 738,116/x
  3. Step 3: Cross multiply
    492,077x = 738,116 × 738,116
  4. Step 4: Simplify right side
    492,077x = 544,815,229,456
  5. Step 5: Solve for x
    x = 544,815,229,456/492,077
  6. Step 6: Final answer
    x = 1,107,174.75

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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.