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Finding the Third Proportional to 323,508 and 463,224

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Solution

The third proportional to 323,508 and 463,224 is: 663,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,508 : 463,224 = 463,224 : x
  2. Step 2: Convert to fraction form
    323,508/463,224 = 463,224/x
  3. Step 3: Cross multiply
    323,508x = 463,224 × 463,224
  4. Step 4: Simplify right side
    323,508x = 214,576,474,176
  5. Step 5: Solve for x
    x = 214,576,474,176/323,508
  6. Step 6: Final answer
    x = 663,280.27

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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.