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Finding the Third Proportional to 170,592 and 396,576

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Solution

The third proportional to 170,592 and 396,576 is: 921,922.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,592 : 396,576 = 396,576 : x
  2. Step 2: Convert to fraction form
    170,592/396,576 = 396,576/x
  3. Step 3: Cross multiply
    170,592x = 396,576 × 396,576
  4. Step 4: Simplify right side
    170,592x = 157,272,523,776
  5. Step 5: Solve for x
    x = 157,272,523,776/170,592
  6. Step 6: Final answer
    x = 921,922.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.