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Finding the Third Proportional to 283,798 and 439,467

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Solution

The third proportional to 283,798 and 439,467 is: 680,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,798 : 439,467 = 439,467 : x
  2. Step 2: Convert to fraction form
    283,798/439,467 = 439,467/x
  3. Step 3: Cross multiply
    283,798x = 439,467 × 439,467
  4. Step 4: Simplify right side
    283,798x = 193,131,244,089
  5. Step 5: Solve for x
    x = 193,131,244,089/283,798
  6. Step 6: Final answer
    x = 680,523.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.