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Finding the Third Proportional to 327,300 and 706,104

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Solution

The third proportional to 327,300 and 706,104 is: 1,523,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,300 : 706,104 = 706,104 : x
  2. Step 2: Convert to fraction form
    327,300/706,104 = 706,104/x
  3. Step 3: Cross multiply
    327,300x = 706,104 × 706,104
  4. Step 4: Simplify right side
    327,300x = 498,582,858,816
  5. Step 5: Solve for x
    x = 498,582,858,816/327,300
  6. Step 6: Final answer
    x = 1,523,320.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.