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Finding the Third Proportional to 283,942 and 439,593

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Solution

The third proportional to 283,942 and 439,593 is: 680,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,942 : 439,593 = 439,593 : x
  2. Step 2: Convert to fraction form
    283,942/439,593 = 439,593/x
  3. Step 3: Cross multiply
    283,942x = 439,593 × 439,593
  4. Step 4: Simplify right side
    283,942x = 193,242,005,649
  5. Step 5: Solve for x
    x = 193,242,005,649/283,942
  6. Step 6: Final answer
    x = 680,568.59

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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.