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Finding the Third Proportional to 322,153 and 685,777

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Solution

The third proportional to 322,153 and 685,777 is: 1,459,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,153 : 685,777 = 685,777 : x
  2. Step 2: Convert to fraction form
    322,153/685,777 = 685,777/x
  3. Step 3: Cross multiply
    322,153x = 685,777 × 685,777
  4. Step 4: Simplify right side
    322,153x = 470,290,093,729
  5. Step 5: Solve for x
    x = 470,290,093,729/322,153
  6. Step 6: Final answer
    x = 1,459,834.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.