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Finding the Third Proportional to 252,828 and 541,640

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Solution

The third proportional to 252,828 and 541,640 is: 1,160,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,828 : 541,640 = 541,640 : x
  2. Step 2: Convert to fraction form
    252,828/541,640 = 541,640/x
  3. Step 3: Cross multiply
    252,828x = 541,640 × 541,640
  4. Step 4: Simplify right side
    252,828x = 293,373,889,600
  5. Step 5: Solve for x
    x = 293,373,889,600/252,828
  6. Step 6: Final answer
    x = 1,160,369.46

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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.