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Finding the Third Proportional to 268,212 and 584,520

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Solution

The third proportional to 268,212 and 584,520 is: 1,273,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,212 : 584,520 = 584,520 : x
  2. Step 2: Convert to fraction form
    268,212/584,520 = 584,520/x
  3. Step 3: Cross multiply
    268,212x = 584,520 × 584,520
  4. Step 4: Simplify right side
    268,212x = 341,663,630,400
  5. Step 5: Solve for x
    x = 341,663,630,400/268,212
  6. Step 6: Final answer
    x = 1,273,856.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.