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Finding the Third Proportional to 392,157 and 552,231

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Solution

The third proportional to 392,157 and 552,231 is: 777,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,157 : 552,231 = 552,231 : x
  2. Step 2: Convert to fraction form
    392,157/552,231 = 552,231/x
  3. Step 3: Cross multiply
    392,157x = 552,231 × 552,231
  4. Step 4: Simplify right side
    392,157x = 304,959,077,361
  5. Step 5: Solve for x
    x = 304,959,077,361/392,157
  6. Step 6: Final answer
    x = 777,645.38

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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.