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Finding the Third Proportional to 256,918 and 541,533

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Solution

The third proportional to 256,918 and 541,533 is: 1,141,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,918 : 541,533 = 541,533 : x
  2. Step 2: Convert to fraction form
    256,918/541,533 = 541,533/x
  3. Step 3: Cross multiply
    256,918x = 541,533 × 541,533
  4. Step 4: Simplify right side
    256,918x = 293,257,990,089
  5. Step 5: Solve for x
    x = 293,257,990,089/256,918
  6. Step 6: Final answer
    x = 1,141,445.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.