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Finding the Third Proportional to 268,560 and 395,416

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Solution

The third proportional to 268,560 and 395,416 is: 582,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,560 : 395,416 = 395,416 : x
  2. Step 2: Convert to fraction form
    268,560/395,416 = 395,416/x
  3. Step 3: Cross multiply
    268,560x = 395,416 × 395,416
  4. Step 4: Simplify right side
    268,560x = 156,353,813,056
  5. Step 5: Solve for x
    x = 156,353,813,056/268,560
  6. Step 6: Final answer
    x = 582,193.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.