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Finding the Third Proportional to 324,252 and 485,082

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Solution

The third proportional to 324,252 and 485,082 is: 725,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,252 : 485,082 = 485,082 : x
  2. Step 2: Convert to fraction form
    324,252/485,082 = 485,082/x
  3. Step 3: Cross multiply
    324,252x = 485,082 × 485,082
  4. Step 4: Simplify right side
    324,252x = 235,304,546,724
  5. Step 5: Solve for x
    x = 235,304,546,724/324,252
  6. Step 6: Final answer
    x = 725,684.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.