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Finding the Third Proportional to 393,552 and 622,191

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Solution

The third proportional to 393,552 and 622,191 is: 983,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,552 : 622,191 = 622,191 : x
  2. Step 2: Convert to fraction form
    393,552/622,191 = 622,191/x
  3. Step 3: Cross multiply
    393,552x = 622,191 × 622,191
  4. Step 4: Simplify right side
    393,552x = 387,121,640,481
  5. Step 5: Solve for x
    x = 387,121,640,481/393,552
  6. Step 6: Final answer
    x = 983,660.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.