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Finding the Third Proportional to 339,436 and 706,760

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Solution

The third proportional to 339,436 and 706,760 is: 1,471,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,436 : 706,760 = 706,760 : x
  2. Step 2: Convert to fraction form
    339,436/706,760 = 706,760/x
  3. Step 3: Cross multiply
    339,436x = 706,760 × 706,760
  4. Step 4: Simplify right side
    339,436x = 499,509,697,600
  5. Step 5: Solve for x
    x = 499,509,697,600/339,436
  6. Step 6: Final answer
    x = 1,471,587.27

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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.