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Finding the Third Proportional to 339,372 and 731,196

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Solution

The third proportional to 339,372 and 731,196 is: 1,575,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,372 : 731,196 = 731,196 : x
  2. Step 2: Convert to fraction form
    339,372/731,196 = 731,196/x
  3. Step 3: Cross multiply
    339,372x = 731,196 × 731,196
  4. Step 4: Simplify right side
    339,372x = 534,647,590,416
  5. Step 5: Solve for x
    x = 534,647,590,416/339,372
  6. Step 6: Final answer
    x = 1,575,402.77

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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.