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Finding the Third Proportional to 450,831 and 674,833

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Solution

The third proportional to 450,831 and 674,833 is: 1,010,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,831 : 674,833 = 674,833 : x
  2. Step 2: Convert to fraction form
    450,831/674,833 = 674,833/x
  3. Step 3: Cross multiply
    450,831x = 674,833 × 674,833
  4. Step 4: Simplify right side
    450,831x = 455,399,577,889
  5. Step 5: Solve for x
    x = 455,399,577,889/450,831
  6. Step 6: Final answer
    x = 1,010,133.68

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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.