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Finding the Third Proportional to 320,856 and 649,500

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Solution

The third proportional to 320,856 and 649,500 is: 1,314,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,856 : 649,500 = 649,500 : x
  2. Step 2: Convert to fraction form
    320,856/649,500 = 649,500/x
  3. Step 3: Cross multiply
    320,856x = 649,500 × 649,500
  4. Step 4: Simplify right side
    320,856x = 421,850,250,000
  5. Step 5: Solve for x
    x = 421,850,250,000/320,856
  6. Step 6: Final answer
    x = 1,314,765.03

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.