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Finding the Third Proportional to 323,604 and 673,032

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Solution

The third proportional to 323,604 and 673,032 is: 1,399,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,604 : 673,032 = 673,032 : x
  2. Step 2: Convert to fraction form
    323,604/673,032 = 673,032/x
  3. Step 3: Cross multiply
    323,604x = 673,032 × 673,032
  4. Step 4: Simplify right side
    323,604x = 452,972,073,024
  5. Step 5: Solve for x
    x = 452,972,073,024/323,604
  6. Step 6: Final answer
    x = 1,399,772.79

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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.