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Finding the Third Proportional to 339,596 and 497,361

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Solution

The third proportional to 339,596 and 497,361 is: 728,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,596 : 497,361 = 497,361 : x
  2. Step 2: Convert to fraction form
    339,596/497,361 = 497,361/x
  3. Step 3: Cross multiply
    339,596x = 497,361 × 497,361
  4. Step 4: Simplify right side
    339,596x = 247,367,964,321
  5. Step 5: Solve for x
    x = 247,367,964,321/339,596
  6. Step 6: Final answer
    x = 728,418.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.