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Finding the Third Proportional to 339,864 and 539,796

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Solution

The third proportional to 339,864 and 539,796 is: 857,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,864 : 539,796 = 539,796 : x
  2. Step 2: Convert to fraction form
    339,864/539,796 = 539,796/x
  3. Step 3: Cross multiply
    339,864x = 539,796 × 539,796
  4. Step 4: Simplify right side
    339,864x = 291,379,721,616
  5. Step 5: Solve for x
    x = 291,379,721,616/339,864
  6. Step 6: Final answer
    x = 857,342.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.