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Finding the Third Proportional to 323,178 and 694,332

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Solution

The third proportional to 323,178 and 694,332 is: 1,491,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,178 : 694,332 = 694,332 : x
  2. Step 2: Convert to fraction form
    323,178/694,332 = 694,332/x
  3. Step 3: Cross multiply
    323,178x = 694,332 × 694,332
  4. Step 4: Simplify right side
    323,178x = 482,096,926,224
  5. Step 5: Solve for x
    x = 482,096,926,224/323,178
  6. Step 6: Final answer
    x = 1,491,738.07

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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.