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Finding the Third Proportional to 250,968 and 541,032

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Solution

The third proportional to 250,968 and 541,032 is: 1,166,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,968 : 541,032 = 541,032 : x
  2. Step 2: Convert to fraction form
    250,968/541,032 = 541,032/x
  3. Step 3: Cross multiply
    250,968x = 541,032 × 541,032
  4. Step 4: Simplify right side
    250,968x = 292,715,625,024
  5. Step 5: Solve for x
    x = 292,715,625,024/250,968
  6. Step 6: Final answer
    x = 1,166,346.41

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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.