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Finding the Third Proportional to 250,980 and 541,056

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Solution

The third proportional to 250,980 and 541,056 is: 1,166,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,980 : 541,056 = 541,056 : x
  2. Step 2: Convert to fraction form
    250,980/541,056 = 541,056/x
  3. Step 3: Cross multiply
    250,980x = 541,056 × 541,056
  4. Step 4: Simplify right side
    250,980x = 292,741,595,136
  5. Step 5: Solve for x
    x = 292,741,595,136/250,980
  6. Step 6: Final answer
    x = 1,166,394.12

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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.