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Finding the Third Proportional to 339,532 and 706,956

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Solution

The third proportional to 339,532 and 706,956 is: 1,471,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,532 : 706,956 = 706,956 : x
  2. Step 2: Convert to fraction form
    339,532/706,956 = 706,956/x
  3. Step 3: Cross multiply
    339,532x = 706,956 × 706,956
  4. Step 4: Simplify right side
    339,532x = 499,786,785,936
  5. Step 5: Solve for x
    x = 499,786,785,936/339,532
  6. Step 6: Final answer
    x = 1,471,987.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.