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Finding the Third Proportional to 458.25 and 604.88

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Solution

The third proportional to 458.25 and 604.88 is: 798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.25 : 604.88 = 604.88 : x
  2. Step 2: Convert to fraction form
    458.25/604.88 = 604.88/x
  3. Step 3: Cross multiply
    458.25x = 604.88 × 604.88
  4. Step 4: Simplify right side
    458.25x = 365,873.77
  5. Step 5: Solve for x
    x = 365,873.77/458.25
  6. Step 6: Final answer
    x = 798.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.