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Finding the Third Proportional to 323,600 and 673,024

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Solution

The third proportional to 323,600 and 673,024 is: 1,399,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,600 : 673,024 = 673,024 : x
  2. Step 2: Convert to fraction form
    323,600/673,024 = 673,024/x
  3. Step 3: Cross multiply
    323,600x = 673,024 × 673,024
  4. Step 4: Simplify right side
    323,600x = 452,961,304,576
  5. Step 5: Solve for x
    x = 452,961,304,576/323,600
  6. Step 6: Final answer
    x = 1,399,756.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.