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Finding the Third Proportional to 263,670 and 408,612

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Solution

The third proportional to 263,670 and 408,612 is: 633,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,670 : 408,612 = 408,612 : x
  2. Step 2: Convert to fraction form
    263,670/408,612 = 408,612/x
  3. Step 3: Cross multiply
    263,670x = 408,612 × 408,612
  4. Step 4: Simplify right side
    263,670x = 166,963,766,544
  5. Step 5: Solve for x
    x = 166,963,766,544/263,670
  6. Step 6: Final answer
    x = 633,230.05

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Why These Related Problems?

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