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Finding the Third Proportional to 537,876 and 832,824

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Solution

The third proportional to 537,876 and 832,824 is: 1,289,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,876 : 832,824 = 832,824 : x
  2. Step 2: Convert to fraction form
    537,876/832,824 = 832,824/x
  3. Step 3: Cross multiply
    537,876x = 832,824 × 832,824
  4. Step 4: Simplify right side
    537,876x = 693,595,814,976
  5. Step 5: Solve for x
    x = 693,595,814,976/537,876
  6. Step 6: Final answer
    x = 1,289,508.76

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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.