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Finding the Third Proportional to 323,433 and 463,131

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Solution

The third proportional to 323,433 and 463,131 is: 663,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,433 : 463,131 = 463,131 : x
  2. Step 2: Convert to fraction form
    323,433/463,131 = 463,131/x
  3. Step 3: Cross multiply
    323,433x = 463,131 × 463,131
  4. Step 4: Simplify right side
    323,433x = 214,490,323,161
  5. Step 5: Solve for x
    x = 214,490,323,161/323,433
  6. Step 6: Final answer
    x = 663,167.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.