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Finding the Third Proportional to 253,971 and 541,692

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Solution

The third proportional to 253,971 and 541,692 is: 1,155,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,971 : 541,692 = 541,692 : x
  2. Step 2: Convert to fraction form
    253,971/541,692 = 541,692/x
  3. Step 3: Cross multiply
    253,971x = 541,692 × 541,692
  4. Step 4: Simplify right side
    253,971x = 293,430,222,864
  5. Step 5: Solve for x
    x = 293,430,222,864/253,971
  6. Step 6: Final answer
    x = 1,155,369.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.