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Finding the Third Proportional to 682,732 and 983,450

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Solution

The third proportional to 682,732 and 983,450 is: 1,416,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,732 : 983,450 = 983,450 : x
  2. Step 2: Convert to fraction form
    682,732/983,450 = 983,450/x
  3. Step 3: Cross multiply
    682,732x = 983,450 × 983,450
  4. Step 4: Simplify right side
    682,732x = 967,173,902,500
  5. Step 5: Solve for x
    x = 967,173,902,500/682,732
  6. Step 6: Final answer
    x = 1,416,623.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.