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Finding the Third Proportional to 483,988 and 751,868

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Solution

The third proportional to 483,988 and 751,868 is: 1,168,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,988 : 751,868 = 751,868 : x
  2. Step 2: Convert to fraction form
    483,988/751,868 = 751,868/x
  3. Step 3: Cross multiply
    483,988x = 751,868 × 751,868
  4. Step 4: Simplify right side
    483,988x = 565,305,489,424
  5. Step 5: Solve for x
    x = 565,305,489,424/483,988
  6. Step 6: Final answer
    x = 1,168,015.51

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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.