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Finding the Third Proportional to 250,641 and 541,233

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Solution

The third proportional to 250,641 and 541,233 is: 1,168,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,641 : 541,233 = 541,233 : x
  2. Step 2: Convert to fraction form
    250,641/541,233 = 541,233/x
  3. Step 3: Cross multiply
    250,641x = 541,233 × 541,233
  4. Step 4: Simplify right side
    250,641x = 292,933,160,289
  5. Step 5: Solve for x
    x = 292,933,160,289/250,641
  6. Step 6: Final answer
    x = 1,168,736.00

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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.