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Finding the Third Proportional to 413,852 and 632,811

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Solution

The third proportional to 413,852 and 632,811 is: 967,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,852 : 632,811 = 632,811 : x
  2. Step 2: Convert to fraction form
    413,852/632,811 = 632,811/x
  3. Step 3: Cross multiply
    413,852x = 632,811 × 632,811
  4. Step 4: Simplify right side
    413,852x = 400,449,761,721
  5. Step 5: Solve for x
    x = 400,449,761,721/413,852
  6. Step 6: Final answer
    x = 967,615.87

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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.