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Finding the Third Proportional to 450,892 and 674,910

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Solution

The third proportional to 450,892 and 674,910 is: 1,010,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,892 : 674,910 = 674,910 : x
  2. Step 2: Convert to fraction form
    450,892/674,910 = 674,910/x
  3. Step 3: Cross multiply
    450,892x = 674,910 × 674,910
  4. Step 4: Simplify right side
    450,892x = 455,503,508,100
  5. Step 5: Solve for x
    x = 455,503,508,100/450,892
  6. Step 6: Final answer
    x = 1,010,227.52

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