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Finding the Third Proportional to 323,848 and 452,872

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Solution

The third proportional to 323,848 and 452,872 is: 633,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,848 : 452,872 = 452,872 : x
  2. Step 2: Convert to fraction form
    323,848/452,872 = 452,872/x
  3. Step 3: Cross multiply
    323,848x = 452,872 × 452,872
  4. Step 4: Simplify right side
    323,848x = 205,093,048,384
  5. Step 5: Solve for x
    x = 205,093,048,384/323,848
  6. Step 6: Final answer
    x = 633,300.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.