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Finding the Third Proportional to 283,793 and 611,878

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Solution

The third proportional to 283,793 and 611,878 is: 1,319,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,793 : 611,878 = 611,878 : x
  2. Step 2: Convert to fraction form
    283,793/611,878 = 611,878/x
  3. Step 3: Cross multiply
    283,793x = 611,878 × 611,878
  4. Step 4: Simplify right side
    283,793x = 374,394,686,884
  5. Step 5: Solve for x
    x = 374,394,686,884/283,793
  6. Step 6: Final answer
    x = 1,319,252.72

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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.