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Finding the Third Proportional to 254,653 and 382,009

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Solution

The third proportional to 254,653 and 382,009 is: 573,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,653 : 382,009 = 382,009 : x
  2. Step 2: Convert to fraction form
    254,653/382,009 = 382,009/x
  3. Step 3: Cross multiply
    254,653x = 382,009 × 382,009
  4. Step 4: Simplify right side
    254,653x = 145,930,876,081
  5. Step 5: Solve for x
    x = 145,930,876,081/254,653
  6. Step 6: Final answer
    x = 573,057.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.