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Finding the Third Proportional to 254,070 and 379,857

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Solution

The third proportional to 254,070 and 379,857 is: 567,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,070 : 379,857 = 379,857 : x
  2. Step 2: Convert to fraction form
    254,070/379,857 = 379,857/x
  3. Step 3: Cross multiply
    254,070x = 379,857 × 379,857
  4. Step 4: Simplify right side
    254,070x = 144,291,340,449
  5. Step 5: Solve for x
    x = 144,291,340,449/254,070
  6. Step 6: Final answer
    x = 567,919.63

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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.