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Finding the Third Proportional to 451,393 and 685,954

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Solution

The third proportional to 451,393 and 685,954 is: 1,042,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,393 : 685,954 = 685,954 : x
  2. Step 2: Convert to fraction form
    451,393/685,954 = 685,954/x
  3. Step 3: Cross multiply
    451,393x = 685,954 × 685,954
  4. Step 4: Simplify right side
    451,393x = 470,532,890,116
  5. Step 5: Solve for x
    x = 470,532,890,116/451,393
  6. Step 6: Final answer
    x = 1,042,401.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.