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Finding the Third Proportional to 598.19 and 1,282.94

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Solution

The third proportional to 598.19 and 1,282.94 is: 2,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.19 : 1,282.94 = 1,282.94 : x
  2. Step 2: Convert to fraction form
    598.19/1,282.94 = 1,282.94/x
  3. Step 3: Cross multiply
    598.19x = 1,282.94 × 1,282.94
  4. Step 4: Simplify right side
    598.19x = 1,645,928.63
  5. Step 5: Solve for x
    x = 1,645,928.63/598.19
  6. Step 6: Final answer
    x = 2,751.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.