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Finding the Third Proportional to 339,799 and 731,669

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Solution

The third proportional to 339,799 and 731,669 is: 1,575,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,799 : 731,669 = 731,669 : x
  2. Step 2: Convert to fraction form
    339,799/731,669 = 731,669/x
  3. Step 3: Cross multiply
    339,799x = 731,669 × 731,669
  4. Step 4: Simplify right side
    339,799x = 535,339,525,561
  5. Step 5: Solve for x
    x = 535,339,525,561/339,799
  6. Step 6: Final answer
    x = 1,575,459.39

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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.