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Finding the Third Proportional to 323,733 and 507,841

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Solution

The third proportional to 323,733 and 507,841 is: 796,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,733 : 507,841 = 507,841 : x
  2. Step 2: Convert to fraction form
    323,733/507,841 = 507,841/x
  3. Step 3: Cross multiply
    323,733x = 507,841 × 507,841
  4. Step 4: Simplify right side
    323,733x = 257,902,481,281
  5. Step 5: Solve for x
    x = 257,902,481,281/323,733
  6. Step 6: Final answer
    x = 796,651.81

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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.