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Finding the Third Proportional to 392,196.94 and 552,293.44

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Solution

The third proportional to 392,196.94 and 552,293.44 is: 777,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,196.94 : 552,293.44 = 552,293.44 : x
  2. Step 2: Convert to fraction form
    392,196.94/552,293.44 = 552,293.44/x
  3. Step 3: Cross multiply
    392,196.94x = 552,293.44 × 552,293.44
  4. Step 4: Simplify right side
    392,196.94x = 305,028,041,105.57
  5. Step 5: Solve for x
    x = 305,028,041,105.57/392,196.94
  6. Step 6: Final answer
    x = 777,742.03

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Why These Related Problems?

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