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Finding the Third Proportional to 283,867 and 404,861

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Solution

The third proportional to 283,867 and 404,861 is: 577,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,867 : 404,861 = 404,861 : x
  2. Step 2: Convert to fraction form
    283,867/404,861 = 404,861/x
  3. Step 3: Cross multiply
    283,867x = 404,861 × 404,861
  4. Step 4: Simplify right side
    283,867x = 163,912,429,321
  5. Step 5: Solve for x
    x = 163,912,429,321/283,867
  6. Step 6: Final answer
    x = 577,426.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.