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Finding the Third Proportional to 283,788 and 611,868

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Solution

The third proportional to 283,788 and 611,868 is: 1,319,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,788 : 611,868 = 611,868 : x
  2. Step 2: Convert to fraction form
    283,788/611,868 = 611,868/x
  3. Step 3: Cross multiply
    283,788x = 611,868 × 611,868
  4. Step 4: Simplify right side
    283,788x = 374,382,449,424
  5. Step 5: Solve for x
    x = 374,382,449,424/283,788
  6. Step 6: Final answer
    x = 1,319,232.84

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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.