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Finding the Third Proportional to 323,742 and 704,193

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Solution

The third proportional to 323,742 and 704,193 is: 1,531,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,742 : 704,193 = 704,193 : x
  2. Step 2: Convert to fraction form
    323,742/704,193 = 704,193/x
  3. Step 3: Cross multiply
    323,742x = 704,193 × 704,193
  4. Step 4: Simplify right side
    323,742x = 495,887,781,249
  5. Step 5: Solve for x
    x = 495,887,781,249/323,742
  6. Step 6: Final answer
    x = 1,531,737.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.