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Finding the Third Proportional to 264,006 and 408,996

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Solution

The third proportional to 264,006 and 408,996 is: 633,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,006 : 408,996 = 408,996 : x
  2. Step 2: Convert to fraction form
    264,006/408,996 = 408,996/x
  3. Step 3: Cross multiply
    264,006x = 408,996 × 408,996
  4. Step 4: Simplify right side
    264,006x = 167,277,728,016
  5. Step 5: Solve for x
    x = 167,277,728,016/264,006
  6. Step 6: Final answer
    x = 633,613.36

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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.