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Finding the Third Proportional to 392,044.50 and 552,096

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Solution

The third proportional to 392,044.50 and 552,096 is: 777,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,044.50 : 552,096 = 552,096 : x
  2. Step 2: Convert to fraction form
    392,044.50/552,096 = 552,096/x
  3. Step 3: Cross multiply
    392,044.50x = 552,096 × 552,096
  4. Step 4: Simplify right side
    392,044.50x = 304,809,993,216
  5. Step 5: Solve for x
    x = 304,809,993,216/392,044.50
  6. Step 6: Final answer
    x = 777,488.25

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.