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Finding the Third Proportional to 321,861 and 685,302

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Solution

The third proportional to 321,861 and 685,302 is: 1,459,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,861 : 685,302 = 685,302 : x
  2. Step 2: Convert to fraction form
    321,861/685,302 = 685,302/x
  3. Step 3: Cross multiply
    321,861x = 685,302 × 685,302
  4. Step 4: Simplify right side
    321,861x = 469,638,831,204
  5. Step 5: Solve for x
    x = 469,638,831,204/321,861
  6. Step 6: Final answer
    x = 1,459,135.56

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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.