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Finding the Third Proportional to 413.72 and 1,000.97

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Solution

The third proportional to 413.72 and 1,000.97 is: 2,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.72 : 1,000.97 = 1,000.97 : x
  2. Step 2: Convert to fraction form
    413.72/1,000.97 = 1,000.97/x
  3. Step 3: Cross multiply
    413.72x = 1,000.97 × 1,000.97
  4. Step 4: Simplify right side
    413.72x = 1,001,938.44
  5. Step 5: Solve for x
    x = 1,001,938.44/413.72
  6. Step 6: Final answer
    x = 2,421.79

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.