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Finding the Third Proportional to 422,884 and 579,894

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Solution

The third proportional to 422,884 and 579,894 is: 795,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,884 : 579,894 = 579,894 : x
  2. Step 2: Convert to fraction form
    422,884/579,894 = 579,894/x
  3. Step 3: Cross multiply
    422,884x = 579,894 × 579,894
  4. Step 4: Simplify right side
    422,884x = 336,277,051,236
  5. Step 5: Solve for x
    x = 336,277,051,236/422,884
  6. Step 6: Final answer
    x = 795,199.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.