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Finding the Third Proportional to 263,736 and 413,424

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Solution

The third proportional to 263,736 and 413,424 is: 648,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,736 : 413,424 = 413,424 : x
  2. Step 2: Convert to fraction form
    263,736/413,424 = 413,424/x
  3. Step 3: Cross multiply
    263,736x = 413,424 × 413,424
  4. Step 4: Simplify right side
    263,736x = 170,919,403,776
  5. Step 5: Solve for x
    x = 170,919,403,776/263,736
  6. Step 6: Final answer
    x = 648,070.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.