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Finding the Third Proportional to 451,659.75 and 675,990.75

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Solution

The third proportional to 451,659.75 and 675,990.75 is: 1,011,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,659.75 : 675,990.75 = 675,990.75 : x
  2. Step 2: Convert to fraction form
    451,659.75/675,990.75 = 675,990.75/x
  3. Step 3: Cross multiply
    451,659.75x = 675,990.75 × 675,990.75
  4. Step 4: Simplify right side
    451,659.75x = 456,963,494,085.56
  5. Step 5: Solve for x
    x = 456,963,494,085.56/451,659.75
  6. Step 6: Final answer
    x = 1,011,742.79

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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.