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Finding the Third Proportional to 252,238 and 527,838

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Solution

The third proportional to 252,238 and 527,838 is: 1,104,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,238 : 527,838 = 527,838 : x
  2. Step 2: Convert to fraction form
    252,238/527,838 = 527,838/x
  3. Step 3: Cross multiply
    252,238x = 527,838 × 527,838
  4. Step 4: Simplify right side
    252,238x = 278,612,954,244
  5. Step 5: Solve for x
    x = 278,612,954,244/252,238
  6. Step 6: Final answer
    x = 1,104,563.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.