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Finding the Third Proportional to 323,034 and 481,395

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Solution

The third proportional to 323,034 and 481,395 is: 717,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,034 : 481,395 = 481,395 : x
  2. Step 2: Convert to fraction form
    323,034/481,395 = 481,395/x
  3. Step 3: Cross multiply
    323,034x = 481,395 × 481,395
  4. Step 4: Simplify right side
    323,034x = 231,741,146,025
  5. Step 5: Solve for x
    x = 231,741,146,025/323,034
  6. Step 6: Final answer
    x = 717,389.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.