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Finding the Third Proportional to 324,180 and 505,952

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Solution

The third proportional to 324,180 and 505,952 is: 789,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,180 : 505,952 = 505,952 : x
  2. Step 2: Convert to fraction form
    324,180/505,952 = 505,952/x
  3. Step 3: Cross multiply
    324,180x = 505,952 × 505,952
  4. Step 4: Simplify right side
    324,180x = 255,987,426,304
  5. Step 5: Solve for x
    x = 255,987,426,304/324,180
  6. Step 6: Final answer
    x = 789,645.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.