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Finding the Third Proportional to 292,800 and 639,144

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Solution

The third proportional to 292,800 and 639,144 is: 1,395,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,800 : 639,144 = 639,144 : x
  2. Step 2: Convert to fraction form
    292,800/639,144 = 639,144/x
  3. Step 3: Cross multiply
    292,800x = 639,144 × 639,144
  4. Step 4: Simplify right side
    292,800x = 408,505,052,736
  5. Step 5: Solve for x
    x = 408,505,052,736/292,800
  6. Step 6: Final answer
    x = 1,395,167.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.