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Finding the Third Proportional to 283,704 and 439,893

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Solution

The third proportional to 283,704 and 439,893 is: 682,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,704 : 439,893 = 439,893 : x
  2. Step 2: Convert to fraction form
    283,704/439,893 = 439,893/x
  3. Step 3: Cross multiply
    283,704x = 439,893 × 439,893
  4. Step 4: Simplify right side
    283,704x = 193,505,851,449
  5. Step 5: Solve for x
    x = 193,505,851,449/283,704
  6. Step 6: Final answer
    x = 682,069.52

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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.