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Finding the Third Proportional to 283,118 and 616,188

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Solution

The third proportional to 283,118 and 616,188 is: 1,341,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,118 : 616,188 = 616,188 : x
  2. Step 2: Convert to fraction form
    283,118/616,188 = 616,188/x
  3. Step 3: Cross multiply
    283,118x = 616,188 × 616,188
  4. Step 4: Simplify right side
    283,118x = 379,687,651,344
  5. Step 5: Solve for x
    x = 379,687,651,344/283,118
  6. Step 6: Final answer
    x = 1,341,093.29

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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.