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Finding the Third Proportional to 464.75 and 604.88

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Solution

The third proportional to 464.75 and 604.88 is: 787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.75 : 604.88 = 604.88 : x
  2. Step 2: Convert to fraction form
    464.75/604.88 = 604.88/x
  3. Step 3: Cross multiply
    464.75x = 604.88 × 604.88
  4. Step 4: Simplify right side
    464.75x = 365,873.77
  5. Step 5: Solve for x
    x = 365,873.77/464.75
  6. Step 6: Final answer
    x = 787.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.