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Finding the Third Proportional to 597.09 and 1,251.84

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Solution

The third proportional to 597.09 and 1,251.84 is: 2,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.09 : 1,251.84 = 1,251.84 : x
  2. Step 2: Convert to fraction form
    597.09/1,251.84 = 1,251.84/x
  3. Step 3: Cross multiply
    597.09x = 1,251.84 × 1,251.84
  4. Step 4: Simplify right side
    597.09x = 1,567,112.77
  5. Step 5: Solve for x
    x = 1,567,112.77/597.09
  6. Step 6: Final answer
    x = 2,624.57

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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.