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Finding the Third Proportional to 283,844 and 439,491

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Solution

The third proportional to 283,844 and 439,491 is: 680,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,844 : 439,491 = 439,491 : x
  2. Step 2: Convert to fraction form
    283,844/439,491 = 439,491/x
  3. Step 3: Cross multiply
    283,844x = 439,491 × 439,491
  4. Step 4: Simplify right side
    283,844x = 193,152,339,081
  5. Step 5: Solve for x
    x = 193,152,339,081/283,844
  6. Step 6: Final answer
    x = 680,487.66

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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.