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Finding the Third Proportional to 327,304 and 706,176

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Solution

The third proportional to 327,304 and 706,176 is: 1,523,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,304 : 706,176 = 706,176 : x
  2. Step 2: Convert to fraction form
    327,304/706,176 = 706,176/x
  3. Step 3: Cross multiply
    327,304x = 706,176 × 706,176
  4. Step 4: Simplify right side
    327,304x = 498,684,542,976
  5. Step 5: Solve for x
    x = 498,684,542,976/327,304
  6. Step 6: Final answer
    x = 1,523,612.74

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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.