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Finding the Third Proportional to 321,165 and 699,526

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Solution

The third proportional to 321,165 and 699,526 is: 1,523,629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,165 : 699,526 = 699,526 : x
  2. Step 2: Convert to fraction form
    321,165/699,526 = 699,526/x
  3. Step 3: Cross multiply
    321,165x = 699,526 × 699,526
  4. Step 4: Simplify right side
    321,165x = 489,336,624,676
  5. Step 5: Solve for x
    x = 489,336,624,676/321,165
  6. Step 6: Final answer
    x = 1,523,629.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.