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Finding the Third Proportional to 320,976 and 496,733

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Solution

The third proportional to 320,976 and 496,733 is: 768,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,976 : 496,733 = 496,733 : x
  2. Step 2: Convert to fraction form
    320,976/496,733 = 496,733/x
  3. Step 3: Cross multiply
    320,976x = 496,733 × 496,733
  4. Step 4: Simplify right side
    320,976x = 246,743,673,289
  5. Step 5: Solve for x
    x = 246,743,673,289/320,976
  6. Step 6: Final answer
    x = 768,729.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.