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Finding the Third Proportional to 252,264 and 538,800

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Solution

The third proportional to 252,264 and 538,800 is: 1,150,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,264 : 538,800 = 538,800 : x
  2. Step 2: Convert to fraction form
    252,264/538,800 = 538,800/x
  3. Step 3: Cross multiply
    252,264x = 538,800 × 538,800
  4. Step 4: Simplify right side
    252,264x = 290,305,440,000
  5. Step 5: Solve for x
    x = 290,305,440,000/252,264
  6. Step 6: Final answer
    x = 1,150,800.11

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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.