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Finding the Third Proportional to 252,072 and 544,800

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Solution

The third proportional to 252,072 and 544,800 is: 1,177,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,072 : 544,800 = 544,800 : x
  2. Step 2: Convert to fraction form
    252,072/544,800 = 544,800/x
  3. Step 3: Cross multiply
    252,072x = 544,800 × 544,800
  4. Step 4: Simplify right side
    252,072x = 296,807,040,000
  5. Step 5: Solve for x
    x = 296,807,040,000/252,072
  6. Step 6: Final answer
    x = 1,177,469.29

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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.