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Finding the Third Proportional to 388,991 and 804,980

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Solution

The third proportional to 388,991 and 804,980 is: 1,665,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,991 : 804,980 = 804,980 : x
  2. Step 2: Convert to fraction form
    388,991/804,980 = 804,980/x
  3. Step 3: Cross multiply
    388,991x = 804,980 × 804,980
  4. Step 4: Simplify right side
    388,991x = 647,992,800,400
  5. Step 5: Solve for x
    x = 647,992,800,400/388,991
  6. Step 6: Final answer
    x = 1,665,829.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.