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Finding the Third Proportional to 250,722 and 522,180

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Solution

The third proportional to 250,722 and 522,180 is: 1,087,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,722 : 522,180 = 522,180 : x
  2. Step 2: Convert to fraction form
    250,722/522,180 = 522,180/x
  3. Step 3: Cross multiply
    250,722x = 522,180 × 522,180
  4. Step 4: Simplify right side
    250,722x = 272,671,952,400
  5. Step 5: Solve for x
    x = 272,671,952,400/250,722
  6. Step 6: Final answer
    x = 1,087,546.97

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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.