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Finding the Third Proportional to 323,722 and 507,825

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Solution

The third proportional to 323,722 and 507,825 is: 796,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,722 : 507,825 = 507,825 : x
  2. Step 2: Convert to fraction form
    323,722/507,825 = 507,825/x
  3. Step 3: Cross multiply
    323,722x = 507,825 × 507,825
  4. Step 4: Simplify right side
    323,722x = 257,886,230,625
  5. Step 5: Solve for x
    x = 257,886,230,625/323,722
  6. Step 6: Final answer
    x = 796,628.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.