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Finding the Third Proportional to 320,446.13 and 683,781.75

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Solution

The third proportional to 320,446.13 and 683,781.75 is: 1,459,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,446.13 : 683,781.75 = 683,781.75 : x
  2. Step 2: Convert to fraction form
    320,446.13/683,781.75 = 683,781.75/x
  3. Step 3: Cross multiply
    320,446.13x = 683,781.75 × 683,781.75
  4. Step 4: Simplify right side
    320,446.13x = 467,557,481,633.06
  5. Step 5: Solve for x
    x = 467,557,481,633.06/320,446.13
  6. Step 6: Final answer
    x = 1,459,082.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.