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Finding the Third Proportional to 413,764 and 632,676

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Solution

The third proportional to 413,764 and 632,676 is: 967,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,764 : 632,676 = 632,676 : x
  2. Step 2: Convert to fraction form
    413,764/632,676 = 632,676/x
  3. Step 3: Cross multiply
    413,764x = 632,676 × 632,676
  4. Step 4: Simplify right side
    413,764x = 400,278,920,976
  5. Step 5: Solve for x
    x = 400,278,920,976/413,764
  6. Step 6: Final answer
    x = 967,408.77

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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.