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Finding the Third Proportional to 252,942 and 541,941

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Solution

The third proportional to 252,942 and 541,941 is: 1,161,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,942 : 541,941 = 541,941 : x
  2. Step 2: Convert to fraction form
    252,942/541,941 = 541,941/x
  3. Step 3: Cross multiply
    252,942x = 541,941 × 541,941
  4. Step 4: Simplify right side
    252,942x = 293,700,047,481
  5. Step 5: Solve for x
    x = 293,700,047,481/252,942
  6. Step 6: Final answer
    x = 1,161,135.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.