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Finding the Third Proportional to 252.75 and 597.88

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Solution

The third proportional to 252.75 and 597.88 is: 1,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.75 : 597.88 = 597.88 : x
  2. Step 2: Convert to fraction form
    252.75/597.88 = 597.88/x
  3. Step 3: Cross multiply
    252.75x = 597.88 × 597.88
  4. Step 4: Simplify right side
    252.75x = 357,454.52
  5. Step 5: Solve for x
    x = 357,454.52/252.75
  6. Step 6: Final answer
    x = 1,414.26

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.