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Finding the Third Proportional to 613.50 and 1,483.88

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Solution

The third proportional to 613.50 and 1,483.88 is: 3,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.50 : 1,483.88 = 1,483.88 : x
  2. Step 2: Convert to fraction form
    613.50/1,483.88 = 1,483.88/x
  3. Step 3: Cross multiply
    613.50x = 1,483.88 × 1,483.88
  4. Step 4: Simplify right side
    613.50x = 2,201,885.02
  5. Step 5: Solve for x
    x = 2,201,885.02/613.50
  6. Step 6: Final answer
    x = 3,589.05

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.