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Finding the Third Proportional to 312,726 and 682,800

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Solution

The third proportional to 312,726 and 682,800 is: 1,490,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,726 : 682,800 = 682,800 : x
  2. Step 2: Convert to fraction form
    312,726/682,800 = 682,800/x
  3. Step 3: Cross multiply
    312,726x = 682,800 × 682,800
  4. Step 4: Simplify right side
    312,726x = 466,215,840,000
  5. Step 5: Solve for x
    x = 466,215,840,000/312,726
  6. Step 6: Final answer
    x = 1,490,812.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.