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Finding the Third Proportional to 264,864 and 392,104

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Solution

The third proportional to 264,864 and 392,104 is: 580,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,864 : 392,104 = 392,104 : x
  2. Step 2: Convert to fraction form
    264,864/392,104 = 392,104/x
  3. Step 3: Cross multiply
    264,864x = 392,104 × 392,104
  4. Step 4: Simplify right side
    264,864x = 153,745,546,816
  5. Step 5: Solve for x
    x = 153,745,546,816/264,864
  6. Step 6: Final answer
    x = 580,469.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.