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Finding the Third Proportional to 339,462 and 706,824

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Solution

The third proportional to 339,462 and 706,824 is: 1,471,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,462 : 706,824 = 706,824 : x
  2. Step 2: Convert to fraction form
    339,462/706,824 = 706,824/x
  3. Step 3: Cross multiply
    339,462x = 706,824 × 706,824
  4. Step 4: Simplify right side
    339,462x = 499,600,166,976
  5. Step 5: Solve for x
    x = 499,600,166,976/339,462
  6. Step 6: Final answer
    x = 1,471,741.07

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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.