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Finding the Third Proportional to 299,124 and 632,016

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Solution

The third proportional to 299,124 and 632,016 is: 1,335,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,124 : 632,016 = 632,016 : x
  2. Step 2: Convert to fraction form
    299,124/632,016 = 632,016/x
  3. Step 3: Cross multiply
    299,124x = 632,016 × 632,016
  4. Step 4: Simplify right side
    299,124x = 399,444,224,256
  5. Step 5: Solve for x
    x = 399,444,224,256/299,124
  6. Step 6: Final answer
    x = 1,335,380.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.