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Finding the Third Proportional to 320,971 and 496,727

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Solution

The third proportional to 320,971 and 496,727 is: 768,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,971 : 496,727 = 496,727 : x
  2. Step 2: Convert to fraction form
    320,971/496,727 = 496,727/x
  3. Step 3: Cross multiply
    320,971x = 496,727 × 496,727
  4. Step 4: Simplify right side
    320,971x = 246,737,712,529
  5. Step 5: Solve for x
    x = 246,737,712,529/320,971
  6. Step 6: Final answer
    x = 768,722.76

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