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Finding the Third Proportional to 263,646 and 408,576

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Solution

The third proportional to 263,646 and 408,576 is: 633,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,646 : 408,576 = 408,576 : x
  2. Step 2: Convert to fraction form
    263,646/408,576 = 408,576/x
  3. Step 3: Cross multiply
    263,646x = 408,576 × 408,576
  4. Step 4: Simplify right side
    263,646x = 166,934,347,776
  5. Step 5: Solve for x
    x = 166,934,347,776/263,646
  6. Step 6: Final answer
    x = 633,176.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.