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Finding the Third Proportional to 283,907 and 439,529

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Solution

The third proportional to 283,907 and 439,529 is: 680,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,907 : 439,529 = 439,529 : x
  2. Step 2: Convert to fraction form
    283,907/439,529 = 439,529/x
  3. Step 3: Cross multiply
    283,907x = 439,529 × 439,529
  4. Step 4: Simplify right side
    283,907x = 193,185,741,841
  5. Step 5: Solve for x
    x = 193,185,741,841/283,907
  6. Step 6: Final answer
    x = 680,454.31

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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.