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Finding the Third Proportional to 451,241 and 676,950

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Solution

The third proportional to 451,241 and 676,950 is: 1,015,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,241 : 676,950 = 676,950 : x
  2. Step 2: Convert to fraction form
    451,241/676,950 = 676,950/x
  3. Step 3: Cross multiply
    451,241x = 676,950 × 676,950
  4. Step 4: Simplify right side
    451,241x = 458,261,302,500
  5. Step 5: Solve for x
    x = 458,261,302,500/451,241
  6. Step 6: Final answer
    x = 1,015,557.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.