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Finding the Third Proportional to 254,664 and 387,828

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Solution

The third proportional to 254,664 and 387,828 is: 590,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,664 : 387,828 = 387,828 : x
  2. Step 2: Convert to fraction form
    254,664/387,828 = 387,828/x
  3. Step 3: Cross multiply
    254,664x = 387,828 × 387,828
  4. Step 4: Simplify right side
    254,664x = 150,410,557,584
  5. Step 5: Solve for x
    x = 150,410,557,584/254,664
  6. Step 6: Final answer
    x = 590,623.56

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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.