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Finding the Third Proportional to 324,441 and 433,988.25

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Solution

The third proportional to 324,441 and 433,988.25 is: 580,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,441 : 433,988.25 = 433,988.25 : x
  2. Step 2: Convert to fraction form
    324,441/433,988.25 = 433,988.25/x
  3. Step 3: Cross multiply
    324,441x = 433,988.25 × 433,988.25
  4. Step 4: Simplify right side
    324,441x = 188,345,801,138.06
  5. Step 5: Solve for x
    x = 188,345,801,138.06/324,441
  6. Step 6: Final answer
    x = 580,524.04

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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.