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Finding the Third Proportional to 597.80 and 1,284.19

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Solution

The third proportional to 597.80 and 1,284.19 is: 2,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 1,284.19 = 1,284.19 : x
  2. Step 2: Convert to fraction form
    597.80/1,284.19 = 1,284.19/x
  3. Step 3: Cross multiply
    597.80x = 1,284.19 × 1,284.19
  4. Step 4: Simplify right side
    597.80x = 1,649,137.54
  5. Step 5: Solve for x
    x = 1,649,137.54/597.80
  6. Step 6: Final answer
    x = 2,758.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.