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Finding the Third Proportional to 320,366 and 704,682

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Solution

The third proportional to 320,366 and 704,682 is: 1,550,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,366 : 704,682 = 704,682 : x
  2. Step 2: Convert to fraction form
    320,366/704,682 = 704,682/x
  3. Step 3: Cross multiply
    320,366x = 704,682 × 704,682
  4. Step 4: Simplify right side
    320,366x = 496,576,721,124
  5. Step 5: Solve for x
    x = 496,576,721,124/320,366
  6. Step 6: Final answer
    x = 1,550,029.41

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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.