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Finding the Third Proportional to 283,814 and 436,372

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Solution

The third proportional to 283,814 and 436,372 is: 670,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,814 : 436,372 = 436,372 : x
  2. Step 2: Convert to fraction form
    283,814/436,372 = 436,372/x
  3. Step 3: Cross multiply
    283,814x = 436,372 × 436,372
  4. Step 4: Simplify right side
    283,814x = 190,420,522,384
  5. Step 5: Solve for x
    x = 190,420,522,384/283,814
  6. Step 6: Final answer
    x = 670,934.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.