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Finding the Third Proportional to 392,353.50 and 552,511.50

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Solution

The third proportional to 392,353.50 and 552,511.50 is: 778,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,353.50 : 552,511.50 = 552,511.50 : x
  2. Step 2: Convert to fraction form
    392,353.50/552,511.50 = 552,511.50/x
  3. Step 3: Cross multiply
    392,353.50x = 552,511.50 × 552,511.50
  4. Step 4: Simplify right side
    392,353.50x = 305,268,957,632.25
  5. Step 5: Solve for x
    x = 305,268,957,632.25/392,353.50
  6. Step 6: Final answer
    x = 778,045.71

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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.