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Finding the Third Proportional to 295,967 and 639,225

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Solution

The third proportional to 295,967 and 639,225 is: 1,380,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,967 : 639,225 = 639,225 : x
  2. Step 2: Convert to fraction form
    295,967/639,225 = 639,225/x
  3. Step 3: Cross multiply
    295,967x = 639,225 × 639,225
  4. Step 4: Simplify right side
    295,967x = 408,608,600,625
  5. Step 5: Solve for x
    x = 408,608,600,625/295,967
  6. Step 6: Final answer
    x = 1,380,588.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.