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Finding the Third Proportional to 315,234 and 682,896

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Solution

The third proportional to 315,234 and 682,896 is: 1,479,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,234 : 682,896 = 682,896 : x
  2. Step 2: Convert to fraction form
    315,234/682,896 = 682,896/x
  3. Step 3: Cross multiply
    315,234x = 682,896 × 682,896
  4. Step 4: Simplify right side
    315,234x = 466,346,946,816
  5. Step 5: Solve for x
    x = 466,346,946,816/315,234
  6. Step 6: Final answer
    x = 1,479,367.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.