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Finding the Third Proportional to 613.50 and 1,421.25

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Solution

The third proportional to 613.50 and 1,421.25 is: 3,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.50 : 1,421.25 = 1,421.25 : x
  2. Step 2: Convert to fraction form
    613.50/1,421.25 = 1,421.25/x
  3. Step 3: Cross multiply
    613.50x = 1,421.25 × 1,421.25
  4. Step 4: Simplify right side
    613.50x = 2,019,951.56
  5. Step 5: Solve for x
    x = 2,019,951.56/613.50
  6. Step 6: Final answer
    x = 3,292.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.