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Finding the Third Proportional to 264,520 and 408,692

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Solution

The third proportional to 264,520 and 408,692 is: 631,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,520 : 408,692 = 408,692 : x
  2. Step 2: Convert to fraction form
    264,520/408,692 = 408,692/x
  3. Step 3: Cross multiply
    264,520x = 408,692 × 408,692
  4. Step 4: Simplify right side
    264,520x = 167,029,150,864
  5. Step 5: Solve for x
    x = 167,029,150,864/264,520
  6. Step 6: Final answer
    x = 631,442.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.