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Finding the Third Proportional to 327,633 and 719,505

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Solution

The third proportional to 327,633 and 719,505 is: 1,580,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,633 : 719,505 = 719,505 : x
  2. Step 2: Convert to fraction form
    327,633/719,505 = 719,505/x
  3. Step 3: Cross multiply
    327,633x = 719,505 × 719,505
  4. Step 4: Simplify right side
    327,633x = 517,687,445,025
  5. Step 5: Solve for x
    x = 517,687,445,025/327,633
  6. Step 6: Final answer
    x = 1,580,083.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.