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Finding the Third Proportional to 413.44 and 775.69

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Solution

The third proportional to 413.44 and 775.69 is: 1,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.44 : 775.69 = 775.69 : x
  2. Step 2: Convert to fraction form
    413.44/775.69 = 775.69/x
  3. Step 3: Cross multiply
    413.44x = 775.69 × 775.69
  4. Step 4: Simplify right side
    413.44x = 601,691.10
  5. Step 5: Solve for x
    x = 601,691.10/413.44
  6. Step 6: Final answer
    x = 1,455.34

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.