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Finding the Third Proportional to 250,734 and 522,204

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Solution

The third proportional to 250,734 and 522,204 is: 1,087,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,734 : 522,204 = 522,204 : x
  2. Step 2: Convert to fraction form
    250,734/522,204 = 522,204/x
  3. Step 3: Cross multiply
    250,734x = 522,204 × 522,204
  4. Step 4: Simplify right side
    250,734x = 272,697,017,616
  5. Step 5: Solve for x
    x = 272,697,017,616/250,734
  6. Step 6: Final answer
    x = 1,087,594.89

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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.