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Finding the Third Proportional to 252,288 and 543,744

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Solution

The third proportional to 252,288 and 543,744 is: 1,171,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,288 : 543,744 = 543,744 : x
  2. Step 2: Convert to fraction form
    252,288/543,744 = 543,744/x
  3. Step 3: Cross multiply
    252,288x = 543,744 × 543,744
  4. Step 4: Simplify right side
    252,288x = 295,657,537,536
  5. Step 5: Solve for x
    x = 295,657,537,536/252,288
  6. Step 6: Final answer
    x = 1,171,904.88

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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.