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Finding the Third Proportional to 422,967 and 655,356

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Solution

The third proportional to 422,967 and 655,356 is: 1,015,425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,967 : 655,356 = 655,356 : x
  2. Step 2: Convert to fraction form
    422,967/655,356 = 655,356/x
  3. Step 3: Cross multiply
    422,967x = 655,356 × 655,356
  4. Step 4: Simplify right side
    422,967x = 429,491,486,736
  5. Step 5: Solve for x
    x = 429,491,486,736/422,967
  6. Step 6: Final answer
    x = 1,015,425.52

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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.