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Finding the Third Proportional to 275,966 and 404,863

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Solution

The third proportional to 275,966 and 404,863 is: 593,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,966 : 404,863 = 404,863 : x
  2. Step 2: Convert to fraction form
    275,966/404,863 = 404,863/x
  3. Step 3: Cross multiply
    275,966x = 404,863 × 404,863
  4. Step 4: Simplify right side
    275,966x = 163,914,048,769
  5. Step 5: Solve for x
    x = 163,914,048,769/275,966
  6. Step 6: Final answer
    x = 593,964.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.