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Finding the Third Proportional to 597.88 and 1,238.75

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Solution

The third proportional to 597.88 and 1,238.75 is: 2,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.88 : 1,238.75 = 1,238.75 : x
  2. Step 2: Convert to fraction form
    597.88/1,238.75 = 1,238.75/x
  3. Step 3: Cross multiply
    597.88x = 1,238.75 × 1,238.75
  4. Step 4: Simplify right side
    597.88x = 1,534,501.56
  5. Step 5: Solve for x
    x = 1,534,501.56/597.88
  6. Step 6: Final answer
    x = 2,566.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.