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Finding the Third Proportional to 535,950 and 727,845

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Solution

The third proportional to 535,950 and 727,845 is: 988,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,950 : 727,845 = 727,845 : x
  2. Step 2: Convert to fraction form
    535,950/727,845 = 727,845/x
  3. Step 3: Cross multiply
    535,950x = 727,845 × 727,845
  4. Step 4: Simplify right side
    535,950x = 529,758,344,025
  5. Step 5: Solve for x
    x = 529,758,344,025/535,950
  6. Step 6: Final answer
    x = 988,447.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.