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Finding the Third Proportional to 323,176 and 694,328

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Solution

The third proportional to 323,176 and 694,328 is: 1,491,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,176 : 694,328 = 694,328 : x
  2. Step 2: Convert to fraction form
    323,176/694,328 = 694,328/x
  3. Step 3: Cross multiply
    323,176x = 694,328 × 694,328
  4. Step 4: Simplify right side
    323,176x = 482,091,371,584
  5. Step 5: Solve for x
    x = 482,091,371,584/323,176
  6. Step 6: Final answer
    x = 1,491,730.11

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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.