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Finding the Third Proportional to 283,086 and 428,256

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Solution

The third proportional to 283,086 and 428,256 is: 647,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,086 : 428,256 = 428,256 : x
  2. Step 2: Convert to fraction form
    283,086/428,256 = 428,256/x
  3. Step 3: Cross multiply
    283,086x = 428,256 × 428,256
  4. Step 4: Simplify right side
    283,086x = 183,403,201,536
  5. Step 5: Solve for x
    x = 183,403,201,536/283,086
  6. Step 6: Final answer
    x = 647,870.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.