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Finding the Third Proportional to 324,449 and 434,001

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Solution

The third proportional to 324,449 and 434,001 is: 580,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,449 : 434,001 = 434,001 : x
  2. Step 2: Convert to fraction form
    324,449/434,001 = 434,001/x
  3. Step 3: Cross multiply
    324,449x = 434,001 × 434,001
  4. Step 4: Simplify right side
    324,449x = 188,356,868,001
  5. Step 5: Solve for x
    x = 188,356,868,001/324,449
  6. Step 6: Final answer
    x = 580,543.84

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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.