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Finding the Third Proportional to 327,573 and 710,874

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Solution

The third proportional to 327,573 and 710,874 is: 1,542,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,573 : 710,874 = 710,874 : x
  2. Step 2: Convert to fraction form
    327,573/710,874 = 710,874/x
  3. Step 3: Cross multiply
    327,573x = 710,874 × 710,874
  4. Step 4: Simplify right side
    327,573x = 505,341,843,876
  5. Step 5: Solve for x
    x = 505,341,843,876/327,573
  6. Step 6: Final answer
    x = 1,542,684.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.