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Finding the Third Proportional to 691.50 and 1,449.75

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Solution

The third proportional to 691.50 and 1,449.75 is: 3,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.50 : 1,449.75 = 1,449.75 : x
  2. Step 2: Convert to fraction form
    691.50/1,449.75 = 1,449.75/x
  3. Step 3: Cross multiply
    691.50x = 1,449.75 × 1,449.75
  4. Step 4: Simplify right side
    691.50x = 2,101,775.06
  5. Step 5: Solve for x
    x = 2,101,775.06/691.50
  6. Step 6: Final answer
    x = 3,039.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.