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Finding the Third Proportional to 324,425 and 433,965

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Solution

The third proportional to 324,425 and 433,965 is: 580,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,425 : 433,965 = 433,965 : x
  2. Step 2: Convert to fraction form
    324,425/433,965 = 433,965/x
  3. Step 3: Cross multiply
    324,425x = 433,965 × 433,965
  4. Step 4: Simplify right side
    324,425x = 188,325,621,225
  5. Step 5: Solve for x
    x = 188,325,621,225/324,425
  6. Step 6: Final answer
    x = 580,490.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.