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Finding the Third Proportional to 321,672.09 and 428,847.33

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Solution

The third proportional to 321,672.09 and 428,847.33 is: 571,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,672.09 : 428,847.33 = 428,847.33 : x
  2. Step 2: Convert to fraction form
    321,672.09/428,847.33 = 428,847.33/x
  3. Step 3: Cross multiply
    321,672.09x = 428,847.33 × 428,847.33
  4. Step 4: Simplify right side
    321,672.09x = 183,910,030,839.95
  5. Step 5: Solve for x
    x = 183,910,030,839.95/321,672.09
  6. Step 6: Final answer
    x = 571,731.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.