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Finding the Third Proportional to 250,671 and 541,299

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Solution

The third proportional to 250,671 and 541,299 is: 1,168,881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,671 : 541,299 = 541,299 : x
  2. Step 2: Convert to fraction form
    250,671/541,299 = 541,299/x
  3. Step 3: Cross multiply
    250,671x = 541,299 × 541,299
  4. Step 4: Simplify right side
    250,671x = 293,004,607,401
  5. Step 5: Solve for x
    x = 293,004,607,401/250,671
  6. Step 6: Final answer
    x = 1,168,881.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.