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Finding the Third Proportional to 292,204 and 628,800

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Solution

The third proportional to 292,204 and 628,800 is: 1,353,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,204 : 628,800 = 628,800 : x
  2. Step 2: Convert to fraction form
    292,204/628,800 = 628,800/x
  3. Step 3: Cross multiply
    292,204x = 628,800 × 628,800
  4. Step 4: Simplify right side
    292,204x = 395,389,440,000
  5. Step 5: Solve for x
    x = 395,389,440,000/292,204
  6. Step 6: Final answer
    x = 1,353,128.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.