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Finding the Third Proportional to 413,761 and 632,676

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Solution

The third proportional to 413,761 and 632,676 is: 967,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,761 : 632,676 = 632,676 : x
  2. Step 2: Convert to fraction form
    413,761/632,676 = 632,676/x
  3. Step 3: Cross multiply
    413,761x = 632,676 × 632,676
  4. Step 4: Simplify right side
    413,761x = 400,278,920,976
  5. Step 5: Solve for x
    x = 400,278,920,976/413,761
  6. Step 6: Final answer
    x = 967,415.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.