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Finding the Third Proportional to 254,651 and 387,512

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Solution

The third proportional to 254,651 and 387,512 is: 589,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,651 : 387,512 = 387,512 : x
  2. Step 2: Convert to fraction form
    254,651/387,512 = 387,512/x
  3. Step 3: Cross multiply
    254,651x = 387,512 × 387,512
  4. Step 4: Simplify right side
    254,651x = 150,165,550,144
  5. Step 5: Solve for x
    x = 150,165,550,144/254,651
  6. Step 6: Final answer
    x = 589,691.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.