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Finding the Third Proportional to 621.50 and 937.25

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Solution

The third proportional to 621.50 and 937.25 is: 1,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.50 : 937.25 = 937.25 : x
  2. Step 2: Convert to fraction form
    621.50/937.25 = 937.25/x
  3. Step 3: Cross multiply
    621.50x = 937.25 × 937.25
  4. Step 4: Simplify right side
    621.50x = 878,437.56
  5. Step 5: Solve for x
    x = 878,437.56/621.50
  6. Step 6: Final answer
    x = 1,413.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.