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Finding the Third Proportional to 324,202 and 520,899

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Solution

The third proportional to 324,202 and 520,899 is: 836,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,202 : 520,899 = 520,899 : x
  2. Step 2: Convert to fraction form
    324,202/520,899 = 520,899/x
  3. Step 3: Cross multiply
    324,202x = 520,899 × 520,899
  4. Step 4: Simplify right side
    324,202x = 271,335,768,201
  5. Step 5: Solve for x
    x = 271,335,768,201/324,202
  6. Step 6: Final answer
    x = 836,934.28

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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.