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Finding the Third Proportional to 388,808 and 496,824

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Solution

The third proportional to 388,808 and 496,824 is: 634,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,808 : 496,824 = 496,824 : x
  2. Step 2: Convert to fraction form
    388,808/496,824 = 496,824/x
  3. Step 3: Cross multiply
    388,808x = 496,824 × 496,824
  4. Step 4: Simplify right side
    388,808x = 246,834,086,976
  5. Step 5: Solve for x
    x = 246,834,086,976/388,808
  6. Step 6: Final answer
    x = 634,848.27

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.