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Finding the Third Proportional to 732.75 and 1,017.56

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Solution

The third proportional to 732.75 and 1,017.56 is: 1,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.75 : 1,017.56 = 1,017.56 : x
  2. Step 2: Convert to fraction form
    732.75/1,017.56 = 1,017.56/x
  3. Step 3: Cross multiply
    732.75x = 1,017.56 × 1,017.56
  4. Step 4: Simplify right side
    732.75x = 1,035,433.44
  5. Step 5: Solve for x
    x = 1,035,433.44/732.75
  6. Step 6: Final answer
    x = 1,413.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.