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Finding the Third Proportional to 250,744 and 522,224

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Solution

The third proportional to 250,744 and 522,224 is: 1,087,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,744 : 522,224 = 522,224 : x
  2. Step 2: Convert to fraction form
    250,744/522,224 = 522,224/x
  3. Step 3: Cross multiply
    250,744x = 522,224 × 522,224
  4. Step 4: Simplify right side
    250,744x = 272,717,906,176
  5. Step 5: Solve for x
    x = 272,717,906,176/250,744
  6. Step 6: Final answer
    x = 1,087,634.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.