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Finding the Third Proportional to 323,665.88 and 507,738.38

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Solution

The third proportional to 323,665.88 and 507,738.38 is: 796,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,665.88 : 507,738.38 = 507,738.38 : x
  2. Step 2: Convert to fraction form
    323,665.88/507,738.38 = 507,738.38/x
  3. Step 3: Cross multiply
    323,665.88x = 507,738.38 × 507,738.38
  4. Step 4: Simplify right side
    323,665.88x = 257,798,257,447.64
  5. Step 5: Solve for x
    x = 257,798,257,447.64/323,665.88
  6. Step 6: Final answer
    x = 796,495.02

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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.