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Finding the Third Proportional to 323,847 and 452,863

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Solution

The third proportional to 323,847 and 452,863 is: 633,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,847 : 452,863 = 452,863 : x
  2. Step 2: Convert to fraction form
    323,847/452,863 = 452,863/x
  3. Step 3: Cross multiply
    323,847x = 452,863 × 452,863
  4. Step 4: Simplify right side
    323,847x = 205,084,896,769
  5. Step 5: Solve for x
    x = 205,084,896,769/323,847
  6. Step 6: Final answer
    x = 633,277.12

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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.