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Finding the Third Proportional to 327,346 and 704,494

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Solution

The third proportional to 327,346 and 704,494 is: 1,516,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,346 : 704,494 = 704,494 : x
  2. Step 2: Convert to fraction form
    327,346/704,494 = 704,494/x
  3. Step 3: Cross multiply
    327,346x = 704,494 × 704,494
  4. Step 4: Simplify right side
    327,346x = 496,311,796,036
  5. Step 5: Solve for x
    x = 496,311,796,036/327,346
  6. Step 6: Final answer
    x = 1,516,168.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.