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Finding the Third Proportional to 438.50 and 1,028.75

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Solution

The third proportional to 438.50 and 1,028.75 is: 2,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.50 : 1,028.75 = 1,028.75 : x
  2. Step 2: Convert to fraction form
    438.50/1,028.75 = 1,028.75/x
  3. Step 3: Cross multiply
    438.50x = 1,028.75 × 1,028.75
  4. Step 4: Simplify right side
    438.50x = 1,058,326.56
  5. Step 5: Solve for x
    x = 1,058,326.56/438.50
  6. Step 6: Final answer
    x = 2,413.52

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.