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Finding the Third Proportional to 283,194 and 552,015

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Solution

The third proportional to 283,194 and 552,015 is: 1,076,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,194 : 552,015 = 552,015 : x
  2. Step 2: Convert to fraction form
    283,194/552,015 = 552,015/x
  3. Step 3: Cross multiply
    283,194x = 552,015 × 552,015
  4. Step 4: Simplify right side
    283,194x = 304,720,560,225
  5. Step 5: Solve for x
    x = 304,720,560,225/283,194
  6. Step 6: Final answer
    x = 1,076,013.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.