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Finding the Third Proportional to 413.50 and 445

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Solution

The third proportional to 413.50 and 445 is: 478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.50 : 445 = 445 : x
  2. Step 2: Convert to fraction form
    413.50/445 = 445/x
  3. Step 3: Cross multiply
    413.50x = 445 × 445
  4. Step 4: Simplify right side
    413.50x = 198,025
  5. Step 5: Solve for x
    x = 198,025/413.50
  6. Step 6: Final answer
    x = 478.90

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.