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Finding the Third Proportional to 312,720 and 682,782

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Solution

The third proportional to 312,720 and 682,782 is: 1,490,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,720 : 682,782 = 682,782 : x
  2. Step 2: Convert to fraction form
    312,720/682,782 = 682,782/x
  3. Step 3: Cross multiply
    312,720x = 682,782 × 682,782
  4. Step 4: Simplify right side
    312,720x = 466,191,259,524
  5. Step 5: Solve for x
    x = 466,191,259,524/312,720
  6. Step 6: Final answer
    x = 1,490,762.53

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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.