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Finding the Third Proportional to 392,216.50 and 552,315

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Solution

The third proportional to 392,216.50 and 552,315 is: 777,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,216.50 : 552,315 = 552,315 : x
  2. Step 2: Convert to fraction form
    392,216.50/552,315 = 552,315/x
  3. Step 3: Cross multiply
    392,216.50x = 552,315 × 552,315
  4. Step 4: Simplify right side
    392,216.50x = 305,051,859,225
  5. Step 5: Solve for x
    x = 305,051,859,225/392,216.50
  6. Step 6: Final answer
    x = 777,763.96

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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.