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Finding the Third Proportional to 283,791 and 611,874

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Solution

The third proportional to 283,791 and 611,874 is: 1,319,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,791 : 611,874 = 611,874 : x
  2. Step 2: Convert to fraction form
    283,791/611,874 = 611,874/x
  3. Step 3: Cross multiply
    283,791x = 611,874 × 611,874
  4. Step 4: Simplify right side
    283,791x = 374,389,791,876
  5. Step 5: Solve for x
    x = 374,389,791,876/283,791
  6. Step 6: Final answer
    x = 1,319,244.77

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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.