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Finding the Third Proportional to 339,596 and 729,304

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Solution

The third proportional to 339,596 and 729,304 is: 1,566,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,596 : 729,304 = 729,304 : x
  2. Step 2: Convert to fraction form
    339,596/729,304 = 729,304/x
  3. Step 3: Cross multiply
    339,596x = 729,304 × 729,304
  4. Step 4: Simplify right side
    339,596x = 531,884,324,416
  5. Step 5: Solve for x
    x = 531,884,324,416/339,596
  6. Step 6: Final answer
    x = 1,566,226.71

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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.