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Finding the Third Proportional to 323,443 and 463,146

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Solution

The third proportional to 323,443 and 463,146 is: 663,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,443 : 463,146 = 463,146 : x
  2. Step 2: Convert to fraction form
    323,443/463,146 = 463,146/x
  3. Step 3: Cross multiply
    323,443x = 463,146 × 463,146
  4. Step 4: Simplify right side
    323,443x = 214,504,217,316
  5. Step 5: Solve for x
    x = 214,504,217,316/323,443
  6. Step 6: Final answer
    x = 663,190.17

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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.