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Finding the Third Proportional to 408,048 and 626,976

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Solution

The third proportional to 408,048 and 626,976 is: 963,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,048 : 626,976 = 626,976 : x
  2. Step 2: Convert to fraction form
    408,048/626,976 = 626,976/x
  3. Step 3: Cross multiply
    408,048x = 626,976 × 626,976
  4. Step 4: Simplify right side
    408,048x = 393,098,904,576
  5. Step 5: Solve for x
    x = 393,098,904,576/408,048
  6. Step 6: Final answer
    x = 963,364.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.