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Finding the Third Proportional to 324,200 and 520,896

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Solution

The third proportional to 324,200 and 520,896 is: 836,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,200 : 520,896 = 520,896 : x
  2. Step 2: Convert to fraction form
    324,200/520,896 = 520,896/x
  3. Step 3: Cross multiply
    324,200x = 520,896 × 520,896
  4. Step 4: Simplify right side
    324,200x = 271,332,642,816
  5. Step 5: Solve for x
    x = 271,332,642,816/324,200
  6. Step 6: Final answer
    x = 836,929.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.