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Finding the Third Proportional to 451,244 and 676,954

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Solution

The third proportional to 451,244 and 676,954 is: 1,015,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,244 : 676,954 = 676,954 : x
  2. Step 2: Convert to fraction form
    451,244/676,954 = 676,954/x
  3. Step 3: Cross multiply
    451,244x = 676,954 × 676,954
  4. Step 4: Simplify right side
    451,244x = 458,266,718,116
  5. Step 5: Solve for x
    x = 458,266,718,116/451,244
  6. Step 6: Final answer
    x = 1,015,563.02

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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.