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Finding the Third Proportional to 260,620.03 and 416,222.30

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Solution

The third proportional to 260,620.03 and 416,222.30 is: 664,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,620.03 : 416,222.30 = 416,222.30 : x
  2. Step 2: Convert to fraction form
    260,620.03/416,222.30 = 416,222.30/x
  3. Step 3: Cross multiply
    260,620.03x = 416,222.30 × 416,222.30
  4. Step 4: Simplify right side
    260,620.03x = 173,241,000,415.90
  5. Step 5: Solve for x
    x = 173,241,000,415.90/260,620.03
  6. Step 6: Final answer
    x = 664,726.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.