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Finding the Third Proportional to 327,467 and 704,734

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Solution

The third proportional to 327,467 and 704,734 is: 1,516,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,467 : 704,734 = 704,734 : x
  2. Step 2: Convert to fraction form
    327,467/704,734 = 704,734/x
  3. Step 3: Cross multiply
    327,467x = 704,734 × 704,734
  4. Step 4: Simplify right side
    327,467x = 496,650,010,756
  5. Step 5: Solve for x
    x = 496,650,010,756/327,467
  6. Step 6: Final answer
    x = 1,516,641.40

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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.