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Finding the Third Proportional to 299,638 and 643,743

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Solution

The third proportional to 299,638 and 643,743 is: 1,383,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,638 : 643,743 = 643,743 : x
  2. Step 2: Convert to fraction form
    299,638/643,743 = 643,743/x
  3. Step 3: Cross multiply
    299,638x = 643,743 × 643,743
  4. Step 4: Simplify right side
    299,638x = 414,405,050,049
  5. Step 5: Solve for x
    x = 414,405,050,049/299,638
  6. Step 6: Final answer
    x = 1,383,019.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.