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Finding the Third Proportional to 308,144 and 673,006

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Solution

The third proportional to 308,144 and 673,006 is: 1,469,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,144 : 673,006 = 673,006 : x
  2. Step 2: Convert to fraction form
    308,144/673,006 = 673,006/x
  3. Step 3: Cross multiply
    308,144x = 673,006 × 673,006
  4. Step 4: Simplify right side
    308,144x = 452,937,076,036
  5. Step 5: Solve for x
    x = 452,937,076,036/308,144
  6. Step 6: Final answer
    x = 1,469,887.70

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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.