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Finding the Third Proportional to 703.90 and 997.52

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Solution

The third proportional to 703.90 and 997.52 is: 1,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.90 : 997.52 = 997.52 : x
  2. Step 2: Convert to fraction form
    703.90/997.52 = 997.52/x
  3. Step 3: Cross multiply
    703.90x = 997.52 × 997.52
  4. Step 4: Simplify right side
    703.90x = 995,053.01
  5. Step 5: Solve for x
    x = 995,053.01/703.90
  6. Step 6: Final answer
    x = 1,413.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.