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Finding the Third Proportional to 320,993 and 496,776

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Solution

The third proportional to 320,993 and 496,776 is: 768,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,993 : 496,776 = 496,776 : x
  2. Step 2: Convert to fraction form
    320,993/496,776 = 496,776/x
  3. Step 3: Cross multiply
    320,993x = 496,776 × 496,776
  4. Step 4: Simplify right side
    320,993x = 246,786,394,176
  5. Step 5: Solve for x
    x = 246,786,394,176/320,993
  6. Step 6: Final answer
    x = 768,821.73

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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.