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Finding the Third Proportional to 310,728 and 673,296

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Solution

The third proportional to 310,728 and 673,296 is: 1,458,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,728 : 673,296 = 673,296 : x
  2. Step 2: Convert to fraction form
    310,728/673,296 = 673,296/x
  3. Step 3: Cross multiply
    310,728x = 673,296 × 673,296
  4. Step 4: Simplify right side
    310,728x = 453,327,503,616
  5. Step 5: Solve for x
    x = 453,327,503,616/310,728
  6. Step 6: Final answer
    x = 1,458,920.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.