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Finding the Third Proportional to 327,354 and 704,766

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Solution

The third proportional to 327,354 and 704,766 is: 1,517,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,354 : 704,766 = 704,766 : x
  2. Step 2: Convert to fraction form
    327,354/704,766 = 704,766/x
  3. Step 3: Cross multiply
    327,354x = 704,766 × 704,766
  4. Step 4: Simplify right side
    327,354x = 496,695,114,756
  5. Step 5: Solve for x
    x = 496,695,114,756/327,354
  6. Step 6: Final answer
    x = 1,517,302.72

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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.